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We give a brief survey on some new developments on elliptic operators on manifolds with polyhedral singularities. The material essentially corresponds to a talk given by the author during the Conference “Elliptic and Hyperbolic Equations on Singular Spaces”, October 27 - 31, 2008, at the MSRI, University of Berkeley.
We prove a local in time existence and uniqueness theorem of classical solutions of the coupled Einstein{Euler system, and therefore establish the well posedness of this system. We use the condition that the energy density might vanish or tends to zero at infinity and that the pressure is a certain function of the energy density, conditions which are used to describe simplified stellar models. In order to achieve our goals we are enforced, by the complexity of the problem, to deal with these equations in a new type of weighted Sobolev spaces of fractional order. Beside their construction, we develop tools for PDEs and techniques for hyperbolic and elliptic equations in these spaces. The well posedness is obtained in these spaces.
We consider a mixed problem for a degenerate differentialoperator equation of higher order. We establish some embedding theorems in weighted Sobolev spaces and show existence and uniqueness of the generalized solution of this problem. We also give a description of the spectrum for the corresponding operator.
The ellipticity of boundary value problems on a smooth manifold with boundary relies on a two-component principal symbolic structure (σψ; σ∂), consisting of interior and boundary symbols. In the case of a smooth edge on manifolds with boundary we have a third symbolic component, namely the edge symbol σ∧, referring to extra conditions on the edge, analogously as boundary conditions. Apart from such conditions in integral form' there may exist singular trace conditions, investigated in [6] on closed' manifolds with edge. Here we concentrate on the phenomena in combination with boundary conditions and edge problem.
We establish elements of a new approch to ellipticity and parametrices within operator algebras on a manifold with higher singularities, only based on some general axiomatic requirements on parameter-dependent operators in suitable scales of spaces. The idea is to model an iterative process with new generations of parameter-dependent operator theories, together with new scales of spaces that satisfy analogous requirements as the original ones, now on a corresponding higher level. The “full” calculus is voluminous; so we content ourselves here with some typical aspects such as symbols in terms of order reducing families, classes of relevant examples, and operators near the conical exit to infinity.
This study investigated the warm-temperate to tropical shallow-water Miocene carbonates of the Perfugas basin (Anglona area), northern Sardinia, Italy (Central Mediterranean). The aim of this study was to identify and document the existence and significance of early diagenesis in this carbonate system, especially the diagenetic history, which reflects the diagenetic potential in terms of skeletal mineralogy. The motivation behind the present study was to investigate the role that early cementation has over facies stabilization linked to differences in biotic associations in shallow-water settings. Principal to this was to unravel the amount, kind and distribution of early cements in this type of carbonates, in order to complement previous studies, and hence acquire a more global perspective on non-tropical carbonate settings. The shallow-buried Sedini Limestone Unit was investigated for variations on early diagenetic features, as well as for the type of biotic association, and oxygen and carbon stable isotope stratigraphy. Results showed, that particularly at the Perfugas basin (< 15 km2), which evolves in time from a ramp into a steep-flanked platform, shallow-water facies are characterized by a “transitional” type of biotic association. The biotic assemblages change gradually over time from a heterozoan-rich into a photozoan-rich depositional system. This transition implies a change in the depositional environmental control factors such as temperature. It is considered that sedimentation took place under warm-temperate waters, which shifted to more warmer or tropical waters through time. Moreover, it was noticed that along with these changes, marine early syn-depositional cements (high-Mg calcite), with particular fabrics (e.g. fibrous), gradually contributed to the early lithification of rocks, favoring a steepening of the platform relief. The major controls for the shift of the depositional geometry was triggered by the change of the type of biotic associations (carbonate factory), related with the shift towards warmer conditions, and the development of early marine cementation. The identification of the amount and distribution of different cement phases, porosities and early diagenetic features, within facies and stratigraphy, showed that diagenesis is differential along depth, and within the depositional setting. High-Mg calcite cements (micrite, fibrous and syntaxial inclusion-rich) are early syn-depositional, facies-related (shallow-water), predominant at the platform phase, and marine in origin. Low-Mg calcite cements (bladed, syntaxial inclusionpoor and blocky) are early to late post-depositional, non-facies related (shallow- to deep-water) and shallow-burial marine in origin. However, a particular difference exists when looking at the amount and distribution of low-Mg calcite bladed cements. They become richer in shallow-water facies at the platform phase, suggesting that the enrichment of bladed cementation is linked to the appearance of metastable grains (e.g. aragonite). In both depositional profiles, the development of secondary porosity is the product of fabric-selective dissolution of grains (aragonite, high-Mg calcite) and/or cements (syntaxial inclusion-rich). However, stratigraphy and stable isotopes (oxygen and carbon), indicate that the molds found at shallower facies located beneath, and close to stratigraphic boundaries, have been produced by the infiltration of meteoric-derived water, which caused recrystallization without calcite cementation. Away from these stratigraphic locations, shallow- and deep-water facies show molds, and recrystallization, as well as low-Mg calcite cementation, interpreted as occurring during burial of these sediments by marine waters. The main cement source is suggested to be aragonite. Our results indicate that the Sedini Limestone Unit was transformed in three different diagenetic environments (marine, meteoric and shallow-burial marine); however, the degree of transformation in each diagenetic environment differs in the heterozoan-dominated ramp from the photozoan-dominated platform. It is suggested that the sediments from the ramp follow a diagenetic pathway similar to their heterozoan counterparts (i.e. lack of marine cementation, and loss of primary porosity by compaction), and the sediments from the platform follow a diagenetic pathway similar to their photozoan counterparts (i.e. marine cementation occluding primary porosity). However, in this carbonate setting, cements are Mg-calcite, no meteoric cementation was produced, and secondary porosity at shallow-water facies of the platform phase is mostly open and preserved. Despite the temporal and transitional change in biotic associations, ramp and platform facies (shallow- to deep-water facies) showed an oxygen isotope record overprinted by diagenesis. Oxygen primary marine signatures were not found. It is believed that burial diagenesis (recrystallization and low-Mg calcite cementation) was the main reason. This was unexpected at the ramp, since heterozoan-rich carbonates can hold isotope values close to primary marine signals due to their low-Mg calcite original composition. Ramp and platform facies (shallow- to deep-water facies) showed a carbon isotope record that was less affected by diagenesis. However, only at deep-water facies, did the carbon record show positive values comparable with carbon primary marine signals. The positive carbon values were noticed with major frequency at the platform deep-water facies. Moreover, these values usually showed a covariant trend with the oxygen isotope record; even that the latter did not hold positive values. The main conclusion of this work is that carbonates, deposited under warm-temperate to tropical conditions, have a unique facies, diagenesis and chemostratigraphic expression, which is different from their cool-water heterozoan or warm-water photozoan counterparts, reflecting the “transitional” nature of biotic association.
In this article we construct the fundamental solutions for the wave equation arising in the de Sitter model of the universe. We use the fundamental solutions to represent solutions of the Cauchy problem and to prove the Lp − Lq-decay estimates for the solutions of the equation with and without a source term.
We study the asymptotic regularity of solutions of Hartree-Fock equations for Coulomb systems. In order to deal with singular Coulomb potentials, Fock operators are discussed within the calculus of pseudo-differential operators on conical manifolds. First, the non-self-consistent-field case is considered which means that the functions that enter into the nonlinear terms are not the eigenfunctions of the Fock operator itself. We introduce asymptotic regularity conditions on the functions that build up the Fock operator which guarantee ellipticity for the local part of the Fock operator on the open stretched cone R+ × S². This proves existence of a parametrix with a corresponding smoothing remainder from which it follows, via a bootstrap argument, that the eigenfunctions of the Fock operator again satisfy asymptotic regularity conditions. Using a fixed-point approach based on Cances and Le Bris analysis of the level-shifting algorithm, we show via another bootstrap argument, that the corresponding self-consistent-field solutions of the Hartree-Fock equation have the same type of asymptotic regularity.
In this paper, we discuss the global existence of solutions for Chemotaxis models with saturation growth. If the coe±cients of the equations are all positive smooth T-periodic functions, then the problem has a positive T-periodic solution, and meanwhile we discuss here the stability problems for the T-periodic solutions.
Formal Poincaré lemma
(2007)
We show how the multiple application of the formal Cauchy-Kovalevskaya theorem leads to the main result of the formal theory of overdetermined systems of partial differential equations. Namely, any sufficiently regular system Au = f with smooth coefficients on an open set U ⊂ Rn admits a solution in smooth sections of a bundle of formal power series, provided that f satisfies a compatibility condition in U.
Modern acquisition of seismic data on receiver networks worldwide produces an increasing amount of continuous wavefield recordings. Hence, in addition to manual data inspection, seismogram interpretation requires new processing utilities for event detection, signal classification and data visualization. Various machine learning algorithms, which can be adapted to seismological problems, have been suggested in the field of pattern recognition. This can be done either by means of supervised learning using manually defined training data or by unsupervised clustering and visualization. The latter allows the recognition of wavefield patterns, such as short-term transients and long-term variations, with a minimum of domain knowledge. Besides classical earthquake seismology, investigations of temporal patterns in seismic data also concern novel approaches such as noise cross-correlation or ambient seismic vibration analysis in general, which have moved into focus within the last decade. In order to find records suitable for the respective approach or simply for quality control, unsupervised preprocessing becomes important and valuable for large data sets. Machine learning techniques require the parametrization of the data using feature vectors. Applied to seismic recordings, wavefield properties have to be computed from the raw seismograms. For an unsupervised approach, all potential wavefield features have to be considered to reduce subjectivity to a minimum. Furthermore, automatic dimensionality reduction, i.e. feature selection, is required in order to decrease computational cost, enhance interpretability and improve discriminative power. This study presents an unsupervised feature selection and learning approach for the discovery, imaging and interpretation of significant temporal patterns in seismic single-station or network recordings. In particular, techniques permitting an intuitive, quickly interpretable and concise overview of available records are suggested. For this purpose, the data is parametrized by real-valued feature vectors for short time windows using standard seismic analysis tools as feature generation methods, such as frequency-wavenumber, polarization, and spectral analysis. The choice of the time window length is dependent on the expected durations of patterns to be recognized or discriminated. We use Self-Organizing Maps (SOMs) for a data-driven feature selection, visualization and clustering procedure, which is particularly suitable for high-dimensional data sets. Using synthetics composed of Rayleigh and Love waves and three different types of real-world data sets, we show the robustness and reliability of our unsupervised learning approach with respect to the effect of algorithm parameters and data set properties. Furthermore, we approve the capability of the clustering and imaging techniques. For all data, we find improved discriminative power of our feature selection procedure compared to feature subsets manually selected from individual wavefield parametrization methods. In particular, enhanced performance is observed compared to the most favorable individual feature generation method, which is found to be the frequency spectrum. The method is applied to regional earthquake records at the European Broadband Network with the aim to define suitable features for earthquake detection and seismic phase classification. For the latter, we find that a combination of spectral and polarization features favor S wave detection at a single receiver. However, SOM-based visualization of phase discrimination shows that clustering applied to the records of two stations only allows onset or P wave detection, respectively. In order to improve the discrimination of S waves on receiver networks, we recommend to consider additionally the temporal context of feature vectors. The application to continuous recordings of seismicity close to an active volcano (Mount Merapi, Java, Indonesia) shows that two typical volcano-seismic events (VTB and Guguran) can be detected and distinguished by clustering. In contrast, so-called MP events cannot be discriminated. Comparable results are obtained for selected features and recognition rates regarding a previously implemented supervised classification system. Finally, we test the reliability of wavefield clustering to improve common ambient vibration analysis methods such as estimation of dispersion curves and horizontal to vertical spectral ratios. It is found, that in general, the identified short- and long-term patterns have no significant impact on those estimates. However, for individual sites, effects of local sources can be identified. Leaving out the corresponding clusters, yields reduced uncertainties or allows for improving estimation of dispersion curves.
Contents: Part I: Symplectic Geometry Chapter 1: Symplectic Spaces and Lagrangian Planes Chapter 2: The Symplectic Group Chapter 3: Multi-Oriented Symplectic Geometry Chapter 4: Intersection Indices in Lag(n) and Sp(n) Part II: Heisenberg Group, Weyl Calculus, and Metaplectic Representation Chapter 5: Lagrangian Manifolds and Quantization Chapter 6: Heisenberg Group and Weyl Operators Chapter 7: The Metaplectic Group Part III: Quantum Mechanics in Phase Space Chapter 8: The Uncertainty Principle Chapter 9: The Density Operator Chapter 10: A Phase Space Weyl Calculus
Differential and pseudo-differential operators on a manifold with (regular) geometric singularities can be studied within a calculus, inspired by the concept of classical pseudo-differential operators on a C1 manifold. In the singular case the operators form an algebra with a principal symbolic hierarchy σ = (σj)0≤j≤k, with k being the order of the singularity and σk operator-valued for k ≥ 1. The symbols determine ellipticity and the nature of parametrices. It is typical in this theory that, similarly as in boundary value problems (which are special edge problems, where the edge is just the boundary), there are trace, potential and Green operators, associated with the various strata of the configuration. The operators, obtained from the symbols by various quantisations, act in weighted distribution spaces with multiple weights. We outline some essential elements of this calculus, give examples and also comment on new challenges and interesting problems of the recent development.
We develop an approach to the problem of optimal recovery of continuous linear functionals in Banach spaces through information on a finite number of given functionals. The results obtained are applied to the problem of the best analytic continuation from a finite set in the complex space Cn, n ≥ 1, for classes of entire functions of exponential type which belong to the space Lp, 1 < p < 1, on the real subspace of Cn. These latter are known as Wiener classes.
On a manifold with edge we construct a specific class of (edgedegenerate) elliptic differential operators. The ellipticity refers to the principal symbolic structure σ = (σψ, σ^) of the edge calculus consisting of the interior and edge symbol, denoted by σψ and σ^, respectively. For our choice of weights the ellipticity will not require additional edge conditions of trace or potential type, and the operators will induce isomorphisms between the respective edge spaces.
We prove the existence of a class of local in time solutions, including static solutions, of the Einstein-Euler system. This result is the relativistic generalisation of a similar result for the Euler-Poisson system obtained by Gamblin [8]. As in his case the initial data of the density do not have compact support but fall off at infinity in an appropriate manner. An essential tool in our approach is the construction and use of weighted Sobolev spaces of fractional order. Moreover, these new spaces allow us to improve the regularity conditions for the solutions of evolution equations. The details of this construction, the properties of these spaces and results on elliptic and hyperbolic equations will be presented in a forthcoming article.
We give a construction of an eigenstate for a non-critical level of the Hamiltonian function, and investigate the contribution of Morse critical points to the spectral decomposition. We compare the rigorous result with the series obtained by a perturbation theory. As an example the relation to the spectral asymptotics is discussed.
On null quadrature domains
(2006)
The characterization of null quadrature domains in Rn (n ≥ 3) has been an open problem throughout the past two and a half decades. A substantial contribution was done by Friedman and Sakai [10]; they showed that if the complement is bounded, then null quadrature domains are exactly the complement of ellip- soids. The first result with unbounded complements appeared in [15], there it is assumed the complement is contained in an infinitely cylinder. The aim of this paper is to show the relation between null quadrature domains and Newton's theorem on the gravitational force induced by homogeneous homoeoidal ellipsoids. We also succeed to make progress in the classification problem and we show that if the boundary of null quadrature domain is contained in a strip and the complement satisfies a certain capacity condition at infinity, then it must be a half-space or a complement of a strip. In addition, we present a Phragm¶en-Lindelöf type theorem which seems to be forgotten in the literature.
It is shown that an elliptic scattering operator A on a compact manifold with boundary with operator valued coefficients in the morphisms of a bundle of Banach spaces of class (HT ) and Pisier’s property (α) has maximal regularity (up to a spectral shift), provided that the spectrum of the principal symbol of A on the scattering cotangent bundle avoids the right half-plane. This is accomplished by representing the resolvent in terms of pseudodifferential operators with R-bounded symbols, yielding by an iteration argument the R-boundedness of λ(A − λ)−1 in R(λ)≥ τ for some τ ∈ IR. To this end, elements of a symbolic and operator calculus of pseudodifferential operators with R-bounded symbols are introduced. The significance of this method for proving maximal regularity results for partial differential operators is underscored by considering also a more elementary situation of anisotropic elliptic operators on Rd with operator valued coefficients.
We consider quasicomplexes of Boutet de Monvel operators in Sobolev spaces on a smooth compact manifold with boundary. To each quasicomplex we associate two complexes of symbols. One complex is defined on the cotangent bundle of the manifold and the other on that of the boundary. The quasicomplex is elliptic if these symbol complexes are exact away from the zero sections. We prove that elliptic quasicomplexes are Fredholm. As a consequence of this result we deduce that a compatibility complex for an overdetermined elliptic boundary problem operator is also Fredholm. Moreover, we introduce the Euler characteristic for elliptic quasicomplexes of Boutet de Monvel operators.
By quasicomplexes are usually meant perturbations of complexes small in some sense. Of interest are not only perturbations within the category of complexes but also those going beyond this category. A sequence perturbed in this way is no longer a complex, and so it bears no cohomology. We show how to introduce Euler characteristic for small perturbations of Fredholm complexes. The paper is to appear in Funct. Anal. and its Appl., 2006.
We study elliptic boundary value problems in a wedge with additional edge conditions of trace and potential type. We compute the (difference of the) number of such conditions in terms of the Fredholm index of the principal edge symbol. The task will be reduced to the case of special opening angles, together with a homotopy argument.
We study the Cauchy problem for the oscillation equation of the couple-stress theory of elasticity in a bounded domain in R3. Both the displacement and stress are given on a part S of the boundary of the domain. This problem is densely solvable while data of compact support in the interior of S fail to belong to the range of the problem. Hence the problem is ill-posed which makes the standard calculi of Fourier integral operators inapplicable. If S is real analytic the Cauchy-Kovalevskaya theorem applies to guarantee the existence of a local solution. We invoke the special structure of the oscillation equation to derive explicit conditions of global solvability and an approximation solution.
We establish a new calculus of pseudodifferential operators on a manifold with smooth edges and study ellipticity with extra trace and potential conditions (as well as Green operators) at the edge. In contrast to the known scenario with conditions of that kind in integral form we admit in this paper ‘singular’ trace, potential and Green operators, which are related to the corresponding operators of positive type in Boutet de Monvel’s calculus for boundary value problems.
In order to characterise the C*-algebra generated by the singular Bochner-Martinelli integral over a smooth closed hypersurfaces in Cn, we compute its principal symbol. We show then that the Szegö projection belongs to the strong closure of the algebra generated by the singular Bochner-Martinelli integral.
Contents: 1 The main notations and definitions. 2 Statement of the problems and main results. 2.1 The case of a Z-configuration. 2.2 The case of a P-configuration. 3 Proofs of Theorems 1-7. 4 Applications. 4.1 Multiplicative Cauchy type functional equation. 4.2 On some integral equations relating to a geometric problem 4.3 On the solvability of boundary problem for hyperbolic differential equations.
For elliptic systems of differential equations on a manifold with boundary, we prove the Fredholm property of a class of boundary problems which do not satisfy the Shapiro-Lopatinskii property. We name these boundary problems generalised elliptic, for they preserve the main properties of elliptic boundary problems. Moreover, they reduce to systems of pseudodifferential operators on the boundary which are generalised elliptic in the sense of Saks (1997).
We construct a special asymptotic solution for the forced KdV equation. In the frame of the shallow water model this kind of the external driving force is related to the atmospheric disturbance. The perturbation slowly passes through a resonance and it leads to the solution exchange. The detailed asymptotic description of the process is presented.
Operators on a manifold with (geometric) singularities are degenerate in a natural way. They have a principal symbolic structure with contributions from the different strata of the configuration. We study the calculus of such operators on the level of edge symbols of second generation, based on specific quantizations of the corner-degenerate interior symbols, and show that this structure is preserved under compositions.
The aim of this paper is to explain the notion of subspace defined by means of pseudodifferential projection and give its applications in elliptic theory. Such subspaces are indispensable in the theory of well-posed boundary value problems for an arbitrary elliptic operator, including the Dirac operator, which has no classical boundary value problems. Pseudodifferential subspaces can be used to compute the fractional part of the spectral Atiyah–Patodi–Singer eta invariant, when it defines a homotopy invariant (Gilkey’s problem). Finally, we explain how pseudodifferential subspaces can be used to give an analytic realization of the topological K-group with finite coefficients in terms of elliptic operators. It turns out that all three applications are based on a theory of elliptic operators on closed manifolds acting in subspaces.
An expansion for a class of functions is called stable if the partial sums are bounded uniformly in the class. Stable expansions are of key importance in numerical analysis where functions are given up to certain error. We show that expansions in homogeneous functions are always stable on a small ball around the origin, and evaluate the radius of the largest ball with this property.
We investigate general Shapiro-Lopatinsky elliptic boundary value problems on manifolds with polycylindrical ends. This is accomplished by compactifying such a manifold to a manifold with corners of in general higher codimension, and we then deal with boundary value problems for cusp differential operators. We introduce an adapted Boutet de Monvel’s calculus of pseudodifferential boundary value problems, and construct parametrices for elliptic cusp operators within this calculus. Fredholm solvability and elliptic regularity up to the boundary and up to infinity for boundary value problems on manifolds with polycylindrical ends follows.
We study boundary-contact problems for elliptic equations (and systems) with interfaces that have edge singularities. Such problems represent continuous operators between weighted edge spaces and subspaces with asymptotics. Ellipticity is formulated in terms of a principal symbolic hierarchy, containing interior, transmission, and edge symbols. We construct parametrices, show regularity with asymptotics of solutions in weighted edge spaces and illustrate the results by boundary-contact problems for the Laplacian with jumping coefficients.
In this paper we establish the regularity, exponential stability of global (weak) solutions and existence of uniform compact attractors of semiprocesses, which are generated by the global solutions, of a two-parameter family of operators for the nonlinear 1-d non-autonomous viscoelasticity. We employ the properties of the analytic semigroup to show the compactness for the semiprocess generated by the global solutions.
Mixed elliptic problems are characterised by conditions that have a discontinuity on an interface of the boundary of codimension 1. The case of a smooth interface is treated in [3]; the investigation there refers to additional interface conditions and parametrices in standard Sobolev spaces. The present paper studies a necessary structure for the case of interfaces with conical singularities, namely, corner conormal symbols of such operators. These may be interpreted as families of mixed elliptic problems on a manifold with smooth interface. We mainly focus on second order operators and additional interface conditions that are holomorphic in an extra parameter. In particular, for the case of the Zaremba problem we explicitly obtain the number of potential conditions in this context. The inverses of conormal symbols are meromorphic families of pseudo-differential mixed problems referring to a smooth interface. Pointwise they can be computed along the lines [3].
We show that the Schr¨odinger equation in phase space proposed by Torres-Vega and Frederick is canonical in the sense that it is a natural consequence of the extendedWeyl calculus obtained by letting the Heisenberg group act on functions (or half-densities) defined on phase space. This allows us, in passing, to solve rigorously the TF equation for all quadratic Hamiltonians.
We study the Weyl representation of metaplectic operators associated to a symplectic matrix having no non-trivial fixed point, and justify a formula suggested in earlier work of Mehlig and Wilkinson. We give precise calculations of the associated Maslov-type indices; these indices intervene in a crucial way in Gutzwiller’s formula of semiclassical mechanics, and are simply related to an index defined by Conley and Zehnder.
We describe a new algebra of boundary value problems which contains Lopatinskii elliptic as well as Toeplitz type conditions. These latter are necessary, if an analogue of the Atiyah-Bott obstruction does not vanish. Every elliptic operator is proved to admit up to a stabilisation elliptic conditions of such a kind. Corresponding boundary value problems are then Fredholm in adequate scales of spaces. The crucial novelty consists of the new type of weighted Sobolev spaces which serve as domains of pseudodifferential operators and which fit well to the nature of operators.
We consider a boundary value problem for an elliptic differential operator of order 2m in a domain D ⊂ n. The boundary of D is smooth outside a finite number of conical points, and the Lopatinskii condition is fulfilled on the smooth part of δD. The corresponding spaces are weighted Sobolev spaces H(up s,Υ)(D), and this allows one to define ellipticity of weight Υ for the problem. The resolvent of the problem is assumed to possess rays of minimal growth. The main result says that if there are rays of minimal growth with angles between neighbouring rays not exceeding π(Υ + 2m)/n, then the root functions of the problem are complete in L²(D). In the case of second order elliptic equations the results remain true for all domains with Lipschitz boundary.
In this paper we consider the hypo-ellipticity of differential forms on a closed manifold.The main results show that there are some topological obstruct for the existence of the differential forms with hypoellipticity.
In this paper, a global existence result of smooth solutions to the multidimen- sional nonisentropic hydrodynamic model for semiconductors is proved, under the assumption that the initial data is a perturbation of the stationary solutions for the thermal equilibrium state. The resulting evolutionary solutions converge to the stationary solutions in time asymptotically exponentially fast.
We study (pseudo-)differential operators on a manifold with edge Z, locally modelled on a wedge with model cone that has itself a base manifold W with smooth edge Y . The typical operators A are corner degenerate in a specific way. They are described (modulo ‘lower order terms’) by a principal symbolic hierarchy σ(A) = (σ ψ(A), σ ^(A), σ ^(A)), where σ ψ is the interior symbol and σ ^(A)(y, η), (y, η) 2 T*Y \ 0, the (operator-valued) edge symbol of ‘first generation’, cf. [15]. The novelty here is the edge symbol σ^ of ‘second generation’, parametrised by (z, Ϛ) 2 T*Z \ 0, acting on weighted Sobolev spaces on the infinite cone with base W. Since such a cone has edges with exit to infinity, the calculus has the problem to understand the behaviour of operators on a manifold of that kind. We show the continuity of corner-degenerate operators in weighted edge Sobolev spaces, and we investigate the ellipticity of edge symbols of second generation. Starting from parameter-dependent elliptic families of edge operators of first generation, we obtain the Fredholm property of higher edge symbols on the corresponding singular infinite model cone.
Dieses Forschungspapier fasst die zentralen Ergebnisse entsprechenden Diplomarbeit zur Steuerverwaltung in Polen zusammen. Die zentrale Fragestellung lautet, wie sich diese spezifische öffentliche Verwaltungsstruktur im Zuge der Transformation und des Beitritts zur Europäischen Union entwickelt hat und inwiefern sie heute europäischen Standards entspricht. Da es der EU in dem Bereich an Kompetenzen mangelt, besteht kein einheitliches europäisches Modell der Steuerverwaltung, an dem die polnische zu messen wäre. Die Autorin nutzt das im Rahmen der Europäisierungsforschung entwickelte Konzept des Europäischen Verwaltungsraums, um die aktuelle Gestalt der polnischen Steuerverwaltung unter Berücksichtigung verbindlicher Vorgaben der EU und deren Aktivitäten im Beitrittsprozess analysieren zu können. Ob es eine spezifisch europäische Steuerverwaltung gibt, wird anhand von Daten der OECD mit einer Clusteranalyse ausgelotet werden. Schließlich wird Polens Verortung in den differenzierten Steuerverwaltungswelten ermittelt. Desweiteren analysiert die Autorin die Verbreitung des Common Assessment Frameworks in den Steuerverwaltungen in den Staaten Mittelosteuropas thematisiert. Eine eigene Umfrage bei den polnischen Finanzämtern bringt mehr Klarheit über die Nutzung des CAF in der polnischen Steuerverwaltung. Schließlich ermittelt die Autorin mittels eines semantischen Differentials das Image der polnischen Steuerverwaltung in Deutschland und vergleicht dieses mit dem Selbstbild der deutschen Steuerverwaltung. In einer Schlussbetrachtung werden die Ergebnisse der verschiedenen Untersuchungen zusammengeführt. Die Antwort der Autorin auf die aufgeworfene Frage nach dem europäischen Charakter der polnischen Steuerverwaltung ist verhalten optimistisch.
I. Human Rights and Democratic Movements in Armenia - Human Rights as an “Attractor” of Europeanization Processes of Transcaucasian “Neither War nor Peace Societies” (Artur Mkrtichyan) - Human Rights Defender’s Office Armenia (Larisa Alaverdyan) - The Factor of Human Rights Protection as Criteria for the Development in the Social System (Hovhannes Hovhannisyan) - Two Priorities and Two Suggestions in Leading the Way to Human Rights Protection (Gevork Manoukian) - Intrastate Mechanisms of the Protection of Human Political Rights and Freedoms in Armenia (Ashot A. Alexanyan) - The Future of Democracy in Armenia: Institutional and Mass Beliefs Perspectives (Alexander Markarov) II. Human Rights and Education in Armenia - Human Rights in the System of Civic Education Values (Valery Poghosyan) - The Role of Academic Knowledge in Maintaining Tolerance (Ani Muradyan) - Rights of a Child or Duties of Adults...? (Mira Antonyan) - The Right to Education for Children with Special Needs: Inclusive Education in Armenia (Marina Hovhannissyan) - Human Rights Awareness and UNDP Evaluation in Armenia (Kristina Henschen) - Human Rights Education in Armenia – A Base Line Study (Litit Umroyan; Lucig Danielian) III. Human Rights and Minorities in Armenia - Human Rights, Minorities and Human Rights Education in Armenia: An External Perspective (Claudia Mahler; Anja Mihr; Reetta Toivanen) - Minorities and Identity in Armenia (Tatevik Margaryan) - Legal and Real Opportunities for the National Minorities Residing on the Territory of the Republic of Armenia (Hranush Kharatyan)
Das vorliegende Heft 13 der Reihe Studien zu Grund- und Menschenrechten enthält die überarbeitete Fassung einer Arbeit, die der Autor im Jahr 2005 für das Deutsche Institut für Menschenrechte erstellt hat. Im Vordergrund stand dabei die Frage, inwiefern das Verhältnis zwischen Menschenrechten und humanitärem Völkerrecht geklärt ist oder ob es noch weiteren Klärungsbedarf hierzu gibt. Der Autor kommt zu dem Ergebnis, dass das Verhältnis im Einzelnen und viele der damit zusammenhängenden Fragen weiterhin kontrovers diskutiert werden und ein Abschluss dieser Diskussion derzeit nicht absehbar ist. Die Studie fasst die Hauptproblemfelder des Verhältnisses dieser beiden Rechtsgebiete, einschließlich der Frage der exterritorialen Geltung von Menschenrechtsverträgen, in sehr gelungener Weise zusammen und weist auf weitere wichtige Fragen hin. Wir freuen uns, dass es möglich ist, diese wichtige Studie in der Schriftenreihe des MenschenRechtsZentrums der Universität Potsdam, an dem der Verfasser derzeit tätig ist, publizieren zu können.
In normal everyday viewing, we perform large eye movements (saccades) and miniature or fixational eye movements. Most of our visual perception occurs while we are fixating. However, our eyes are perpetually in motion. Properties of these fixational eye movements, which are partly controlled by the brainstem, change depending on the task and the visual conditions. Currently, fixational eye movements are poorly understood because they serve the two contradictory functions of gaze stabilization and counteraction of retinal fatigue. In this dissertation, we investigate the spatial and temporal properties of time series of eye position acquired from participants staring at a tiny fixation dot or at a completely dark screen (with the instruction to fixate a remembered stimulus); these time series were acquired with high spatial and temporal resolution. First, we suggest an advanced algorithm to separate the slow phases (named drift) and fast phases (named microsaccades) of these movements, which are considered to play different roles in perception. On the basis of this identification, we investigate and compare the temporal scaling properties of the complete time series and those time series where the microsaccades are removed. For the time series obtained during fixations on a stimulus, we were able to show that they deviate from Brownian motion. On short time scales, eye movements are governed by persistent behavior and on a longer time scales, by anti-persistent behavior. The crossover point between these two regimes remains unchanged by the removal of microsaccades but is different in the horizontal and the vertical components of the eyes. Other analyses target the properties of the microsaccades, e.g., the rate and amplitude distributions, and we investigate, whether microsaccades are triggered dynamically, as a result of earlier events in the drift, or completely randomly. The results obtained from using a simple box-count measure contradict the hypothesis of a purely random generation of microsaccades (Poisson process). Second, we set up a model for the slow part of the fixational eye movements. The model is based on a delayed random walk approach within the velocity related equation, which allows us to use the data to determine control loop durations; these durations appear to be different for the vertical and horizontal components of the eye movements. The model is also motivated by the known physiological representation of saccade generation; the difference between horizontal and vertical components concurs with the spatially separated representation of saccade generating regions. Furthermore, the control loop durations in the model suggest an external feedback loop for the horizontal but not for the vertical component, which is consistent with the fact that an internal feedback loop in the neurophysiology has only been identified for the vertical component. Finally, we confirmed the scaling properties of the model by semi-analytical calculations. In conclusion, we were able to identify several properties of the different parts of fixational eye movements and propose a model approach that is in accordance with the described neurophysiology and described limitations of fixational eye movement control.
Informatischen Hochleistern über die Schulter geschaut : was können schwache Problemlöser lernen
(2009)
Leistungsstarke Problemlöser zeigen ein deutlich anderes Vorgehen beim Bearbeiten von typischen Informatikproblemen als schwächere Problemlöser, das hat eine Studie mit Hochleistern und einer Vergleichsgruppe mit Informatikstudierenden ergeben. Auffällig war das Fehlen informatikspezifischer Herangehensweisen bei der Problembearbeitung durch die Vergleichsgruppe, obwohl ihnen die dazu notwendigen Werkzeuge wie etwa Baumstrukturen oder Rekursion durchaus bekannt waren. Die Frage, wie nun die deutlich effizienteren Strategien der Hochleister didaktisch aufgearbeitet werden können, um sie an schwache Problemlöser zu vermitteln, wird im vorliegen Beitrag anhand der Konzeption eines Lehrvideos diskutiert.
Mit hochschuldidaktischer Forschung zur Informatik soll aus einem traditionellen Hardwarepraktikum ein attraktives Entwurfs- und Anwendungspraktikum für Mikrosysteme (MSE) werden, das ein unverzichtbarer Bestandteil des Informatikstudiums ist. Diese Neugestaltung der Lehre wurde aufgrund des Bologna-Prozesses und der zunehmenden Präsenz multifunktionaler eingebetteter Mikrosysteme (EMS) im täglichen Leben notwendig. Ausgehend von einer Lehrveranstaltungsanalyse werden Vorschläge für die Kompetenzorientierung abgeleitet. Es wird gezeigt, dass für eine Verfeinerung des Ansatzes ein wissenschaftlich fundiertes Verständnis der erwarteten Kompetenzen erforderlich ist. Für den aufgezeigten Forschungsbedarf werden ein Ansatz zur Beschreibung des notwendigen Mikrosystemverständnisses dargestellt und Forschungsfelder zu Aspekten des Kompetenzbegriffs im Kontext der Lehrveranstaltung beschrieben.
Ein handlungsorientiertes, didaktisches Training für Tutoren im Bachelorstudium der Informatik
(2009)
Die didaktisch-pädagogische Ausbildung studentischer Tutoren für den Einsatz im Bachelorstudium der Informatik ist Gegenstand dieser Arbeit. Um die theoretischen Inhalte aus Sozial- und Lernpsychologie handlungsorientiert und effizient zu vermitteln, wird das Training als Lehrform gewählt. Die in einer Tutorübung zentrale Methode der Gruppenarbeit wird dabei explizit und implizit vermittelt. Erste praktische Erfahrungen mit ihrer zukünftigen Rolle gewinnen die Tutoren in Rollenspielen, wobei sowohl Standardsituationen als auch fachspezifisch und pädagogisch problematische Situationen simuliert werden. Während die Vermittlung der genannten Inhalte und die Rollenspiele im Rahmen einer Blockveranstaltung vor Beginn des Semesters durchgeführt werden, finden während des Semesters Hospitationen statt, in der die Fähigkeiten der Tutoren anhand eines standardisierten Bewertungsbogens beurteilt werden.
Die nachhaltige Integration von Blended Learning in den Informatik-Lehrbetrieb von Präsenzhochschulen und die Qualitätssicherung der Lehre mit digitalen Medien beruht nicht nur auf der Verfügbarkeit von Lernmaterialien und dem Zugang zu Lernplattformen, sondern erfordert auch Qualifizierungsmaßnahmen für die Lehrenden. Am Beispiel der Gestaltung von vorlesungsbegleitenden Übungen in der universitären Informatikausbildung wird ein Konzept für die Schulung von Tutoren vorgestellt, das sich an den Erfordernissen des Übungsbetriebs und den unterschiedlichen Arbeits- und Lernkontexten der künftigen Tutoren orientiert. Das Konzept basiert auf mehrjährigen Praxiserfahrungen mit Schulungsworkshops für Tutoren in der Informatik, die nun aufgrund aktueller didaktischer Konzepte zum Blended Learning und unter Berücksichtigung von Umfrageergebnissen unter studentischen Tutoren modifiziert wurden. Das neu entwickelte modulare Konzept zur Tutorenschulung befindet sich aktuell in einer erweiterten Pilotphase.
Diese Arbeit enthält eine umfassende Analyse, wie der Kompetenzerwerb in einem einsemestrigen Softwarepraktikum vonstatten geht. Dabei steht neben der Frage, welche Kompetenzen besonders gut erworben wurden, der Einfluss von Vorwissen/-kompetenz im Mittelpunkt der Abhandlung. Auf dieser Basis werden einige grundlegende und konkrete Verbesserungsvorschläge erarbeitet, wie der breite Kompetenzerwerb begünstigt wird, d.h. möglichst viele Studierende sich in einem breiten Kompetenzspektrum weiterentwickeln.
Das Gebiet der Netzsicherheit ist ein schwer zu lehrendes und mühsam zu lernendes Fach in der Informatikausbildung. Dies hat verschiedene Gründe, z.B. erfordert es Fachkenntnis, die jenseits von bunten Bildern zu vermitteln ist und sich dabei mit geringer Halbwertszeit weiterentwickelt. Echte Bedrohungsszenarien müssen unter Laborbedingungen nachgestellt werden, und der Umgang mit den Sicherheitswerkzeugen ist sehr komplex. Auf der einen Seite muss das System konzeptionell verstanden werden und auf der anderen Seite sind viele Details in der Konfiguration von Firewalls, Netz-Komponenten und –Werkzeugen für klassische Prüfungssituationen in der Ausbildung anzuwenden. Mit NetS-X (Network Security Experience) stellen wir einen laufenden Prototyp einer e-learning Plattform vor, mit der ein weiter Bereich von Sicherheitsszenarien vermittelt werden kann. Dabei wird der Lernende in einem Spielsystem mit Situationen konfrontiert, die er in einer echten, auf Linux basierenden typischen IT-Infrastruktur eines Unternehmens beherrschen muss. Die sicherheitsrelevanten Aktivitäten des Lernenden, z.B. der Einsatz von Monitor-Werkzeugen oder die Konfiguration von Netz-Komponenten werden dabei nicht simuliert, sondern real durchgeführt und durch Prozesse des Spielsystems beobachtet und bewertet. Autorenwerkzeuge ermöglichen den Lehrenden und Spielern, selber neue Spielsituationen, Sicherheitsszenarien oder Wissenskomponenten in das System zu integrieren.
Die gelungene Durchführung einer Vorlesung „Informatik I – Einführung in die Programmierung“ ist schwierig, trotz einer Vielfalt existierender Materialien und erprobter didaktischer Methoden. Gerade aufgrund dieser vielfältigen Auswahl hat sich bisher noch kein robustes Konzept durchgesetzt, das unabhängig von den Durchführenden eine hohe Erfolgsquote garantiert. An den Universitäten Tübingen und Freiburg wurde die Informatik I aus den gleichen Lehrmaterialien und unter ähnlichen Bedingungen durchgeführt, um das verwendete Konzept auf Robustheit zu überprüfen. Die Grundlage der Vorlesung bildet ein systematischer Ansatz zum Erlernen des Programmierens, der von der PLTGruppe in USA entwickelt worden ist. Hinzu kommen neue Ansätze zur Betreuung, insbesondere das Betreute Programmieren, bei dem die Studierenden eine solide Basis für ihre Programmierfähigkeiten entwickeln. Der vorliegende Bericht beschreibt hierbei gesammelte Erfahrungen, erläutert die Entwicklung der Unterrichtsmethodik und der Inhaltsauswahl im Vergleich zu vorangegangenen Vorlesungen und präsentiert Daten zum Erfolg der Vorlesung.
Biographisches Lernen betont insbesondere die Rolle individueller biographischer Erfahrungen und deren Auswirkungen auf Selbstbild, Weltbild und Verhaltensmuster. Schlagwortartig kann diese Perspektive als Unterschied zwischen ‚Informatik lernen‘ und ‚Informatiker/in werden‘ beschrieben werden. Im Artikel wird die Perspektive des Biographischen Lernens an Beispielen aus der Informatik skizziert. Biographisches Lernen ist in der Informatik zunächst aus rein pragmatischen Gründen bedeutsam. Der rasche Wandel der Informationstechnologien im Alltag verändert Erfahrungshintergründe der Studierenden (bzw. Schülerinnen und Schüler). Dementsprechend verändern sich Erwartungen, Interessen, Vorkenntnisse, generelle Einstellungen oder auch ganz banal die ‚IT-Ausstattung‘ der Lernenden.
Game-based Learning
(2009)
Game-based Learning und Edutainment sind aktuelle Schlagworte im Bereich der Hochschulausbildung. Zunächst verbindet man damit die Integration einer Spiel- und Spaßkultur in die herkömmlichen Lehrveranstaltungen wie Vorlesungen, Übungen, Praktika und Seminare. Die nachfolgenden Ausführungen gehen einer genaueren Begriffsanalyse nach und untersuchen, ob Game-based Learning und Edutainment tatsächlich neuartige Unterrichtsformen erfordern oder neue didaktische Überlegungen in bestehendes Unterrichtsgeschehen bringen – oder ob es nicht doch an einigen Stellen „alter Wein in neuen Schläuchen“ ist.
Medi@Thing
(2009)
In vielen Bildungsbereichen verschieben sich gegenwärtig die Akzente von einer qualifikationsorientierten zu einer stärker kompetenzorientierten Ausbildung. Der Begriff der Kompetenz zielt dabei darauf ab, das Aneignen von Wissen auf Vorrat zugunsten des Erwerbs allgemeiner Kompetenzen beispielsweise zur eigenständigen Aneignung von Wissen zu verschieben. Schlüsselqualifikationen geraten dabei zunehmend auch für die Ausbildung von Ingenieuren und Informatikern ins Blickfeld. Der kooperative und erwägende Umgang mit Wissensvielfalt wird in einer Informationsgesellschaft mit ihrer schnellen und verteilten Aufbereitung von Wissen zur Herausforderung. Der Beitrag skizziert die damit verbundenen Anforderungen und stellt mit dem Konzept des Medi@Thing einen Ansatz vor, der die Umsetzung solcher Anforderungen im Rahmen der universitären Informatikausbildung ermöglicht. Ein zentrales Moment dieses Ansatzes ist die ko-aktive Wissensarbeit in virtuellen Räumen. Erste Erfahrungen zeigen, dass das Konzept von Studierenden angenommen wird. Es wird jedoch auch deutlich, dass für das Gelingen bestimmte organisatorische und technische Randbedingungen zu beachten sind.
Design and Implementation of service-oriented architectures imposes a huge number of research questions from the fields of software engineering, system analysis and modeling, adaptability, and application integration. Component orientation and web services are two approaches for design and realization of complex web-based system. Both approaches allow for dynamic application adaptation as well as integration of enterprise application. Commonly used technologies, such as J2EE and .NET, form de facto standards for the realization of complex distributed systems. Evolution of component systems has lead to web services and service-based architectures. This has been manifested in a multitude of industry standards and initiatives such as XML, WSDL UDDI, SOAP, etc. All these achievements lead to a new and promising paradigm in IT systems engineering which proposes to design complex software solutions as collaboration of contractually defined software services. Service-Oriented Systems Engineering represents a symbiosis of best practices in object-orientation, component-based development, distributed computing, and business process management. It provides integration of business and IT concerns. The annual Ph.D. Retreat of the Research School provides each member the opportunity to present his/her current state of their research and to give an outline of a prospective Ph.D. thesis. Due to the interdisciplinary structure of the Research Scholl, this technical report covers a wide range of research topics. These include but are not limited to: Self-Adaptive Service-Oriented Systems, Operating System Support for Service-Oriented Systems, Architecture and Modeling of Service-Oriented Systems, Adaptive Process Management, Services Composition and Workflow Planning, Security Engineering of Service-Based IT Systems, Quantitative Analysis and Optimization of Service-Oriented Systems, Service-Oriented Systems in 3D Computer Graphics, as well as Service-Oriented Geoinformatics.
“The UN Peacebuilding Commission – Lessons from Sierra Leone” by political scientist Andrea Iro is an assessment of the United Nations Peacebuilding Commission (PBC) and the United Nations Peacebuilding Fund (PBF) by analysing their performance over the last two years in Sierra Leone, one of the first PBC focus countries. The paper explores the key question of how the PBC/PBF’s mandate has been translated into operational practice in the field. It concludes that though the overall impact has been mainly positive and welcomed by the country, translating the general mandate into concrete activities remains a real challenge at the country level.
Camus im Land der Sowjets
(2009)
Albert Camus in Rumänien
(2009)
The Sun is a star, which due to its proximity has a tremendous influence on Earth. Since its very first days mankind tried to "understand the Sun", and especially in the 20th century science has uncovered many of the Sun's secrets by using high resolution observations and describing the Sun by means of models. As an active star the Sun's activity, as expressed in its magnetic cycle, is closely related to the sunspot numbers. Flares play a special role, because they release large energies on very short time scales. They are correlated with enhanced electromagnetic emissions all over the spectrum. Furthermore, flares are sources of energetic particles. Hard X-ray observations (e.g., by NASA's RHESSI spacecraft) reveal that a large fraction of the energy released during a flare is transferred into the kinetic energy of electrons. However the mechanism that accelerates a large number of electrons to high energies (beyond 20 keV) within fractions of a second is not understood yet. The thesis at hand presents a model for the generation of energetic electrons during flares that explains the electron acceleration based on real parameters obtained by real ground and space based observations. According to this model photospheric plasma flows build up electric potentials in the active regions in the photosphere. Usually these electric potentials are associated with electric currents closed within the photosphere. However as a result of magnetic reconnection, a magnetic connection between the regions of different magnetic polarity on the photosphere can establish through the corona. Due to the significantly higher electric conductivity in the corona, the photospheric electric power supply can be closed via the corona. Subsequently a high electric current is formed, which leads to the generation of hard X-ray radiation in the dense chromosphere. The previously described idea is modelled and investigated by means of electric circuits. For this the microscopic plasma parameters, the magnetic field geometry and hard X-ray observations are used to obtain parameters for modelling macroscopic electric components, such as electric resistors, which are connected with each other. This model demonstrates that such a coronal electric current is correlated with large scale electric fields, which can accelerate the electrons quickly up to relativistic energies. The results of these calculations are encouraging. The electron fluxes predicted by the model are in agreement with the electron fluxes deduced from the measured photon fluxes. Additionally the model developed in this thesis proposes a new way to understand the observed double footpoint hard X-ray sources.
Camus im Osten
(2009)
Albert Camus' 40. Todestag ist Anlaß, die literarische, kulturelle und politisch-soziale Bedeutung des Autors für die ehemals sozialistischen Länder zu dokumentieren. Camus' Interesse für diese Länder und die Unbestechlichkeit seines Urteils konnten von den oppositionellen Kräften als wirksame Unterstützung wahrgenommen werden; das belegen die Beiträge von acht LiteraturwissenschaftlerInnen, ÜbersetzerInnen und Kulturschaffenden, die an der Rezeption Camus' maßgeblich beteiligt waren und sind. Dabei wird deutlich, daß sich in der Auseinandersetzung mit Camus' Werk eine politische Haltung kundtat, die nicht selten eine Lebenshaltung und -entscheidung war.
In this paper a partial least squares (PLS) approach to dynamic modelling with latent variables is proposed. Let Y be a matrix of manifest variables and H the matrix of the corresponding latent variables. And let H = BH+ε be a structural PLS model with a coefficient matrix B. Then this model can be made a dynamic one by substituting for B a matrix F = B + CL containing the lag operator L. Then the structural dynamic model H = FH+ε is formally estimated like an ordinary PLS model. In an exploratory way the model can be used for forecasting purposes. The procedure is being programmed in ISP.
The piezoelectric and pyroelectric properties of oriented films possessing dipole moments are increasingly being used in pressure, acoustic, thermal and optical devices. The performance of these devices in many applications may be enhanced by thin-film technology.The developing Langmuir-Blodgett thin-film deposition technique offers the opportunity to obtain highly oriented and uniform organic-based films in the 10–5000 nm thickness range. Special techniques must be used, however, to assemble these molecules in such a way as to result in polar multilayer films. Several possible deposition techniques are investigated, with one resulting in a polar and pyroelectric film about 50 nm thick.
Thema des Workshops waren alle Fragen, die sich der Vermittlung von Informatikgegenständen im Hochschulbereich widmen. Dazu gehören u.a.: - fachdidaktische Konzepte der Vermittlung einzelner Informatikgegenstände - methodische Lösungen, wie spezielle Lehr- und Lernformen, Durchführungskonzepte - Studienkonzepte und Curricula, insbesondere im Zusammenhang mit Bachelor- und Masterstudiengängen - E-Learning-Ansätze, wenn sie ein erkennbares didaktisches Konzept verfolgen empirische Ergebnisse und Vergleichsstudien. Die Fachtagung widmete sich ausgewählten Fragestellungen dieses Themenkomplexes, die durch Vorträge ausgewiesener Experten, durch eingereichte Beiträge und durch eine Präsentation intensiv behandelt wurden.
Inhalt: A. Einführung in das Thema und Vorstellung des SWP-Verbundes B. Motive der öffentlichen Hand für Public Private Partnerships C. Risiken für die öffentliche Hand D. Konkrete Auswirkungen der Teil-Privatisierung des Wasserbetriebes in Potsdam E. Warum eine Rekommunalisierung oftmals geboten erscheint F. Die Public Private Partnership im Tagesgeschäft G. Erfolgsfaktoren – wann PPPs auch für die öffentliche Hand und somit den Bürger erfolgreich sein können
Der Wettbewerbliche Dialog
(2008)
Inhalt: A. Einführung in die Thematik B. Bedeutung des Vergaberechts innerhalb des PPP-Beschaffungsprozesses C. Der Wettbewerbliche Dialog als „Dritter Weg“ zwischen offenem und Verhandlungsverfahren I. Anwendungsbereich II. Der Verfahrensablauf 1. Bekanntmachung 2. Präqualifikation der Anbieter 3. Dialogphase 4. Angebotsabgabe 5. Angebotswertung und Zuschlagserteilung D. Verhältnis zu den anderen Vergabearten I. Abgrenzung zum Verhandlungsverfahren II. Abgrenzung zum offenen Verfahren E. Bewertung und Ausblick I. Gründe für das bisherige Akzeptanzdefizit II. Vergleich zum Verhandlungsverfahren F. Zusammenfassender Ausblick
Kooperationsverträge
(2008)
Inhalt: A. Praktischer und theoretischer Entwicklungsstand von PPP in Deutschland B. Charakterisierung von PPP I. Grundkategorien von PPP II. Phasenmodell der Projektänderung und Kostensteigerungen bei PP-Projekten C. Wirtschaftlichkeitsanalyse und -vergleich I. Allgemeine Kennzeichnung II. Mögliche Gründe einer Vorteilhaftigkeit von PPP III. Risikoanalyse und Risikoverhalten als zentrales Problem des Wirtschaftlichkeitsvergleichs D. Transparenzbericht zur Deckung des Bedarfs an Informationen über Projektstruktur und -verlauf E. Schlussfolgerung und Entwicklungsperspektiven
Inhalt: A. Verwaltungskooperation als Strategie der Staatsmodernisierung B. Public Private Partnerships I. Einsatzfelder, rechtliche Rahmenbedingungen und Implementationsprobleme II. Gesetzgeberische Reformbestrebungen C. Public Public Partnerships D. Zu Suche und Auswahl des Kooperationspartners E. Zukunftstrend Rekommunalisierung? F. Entwicklungsszenarien G. Anhang: Gesetz zur Erleichterung Öffentlich Privater Partnerschaften des Landes Schleswig-Holstein vom 19. 6. 2007 (GVBl S. 328) – Auszug
Interpol und Europol
(2009)
Inhalt: Interpol - Kurzer geschichtlicher Abriss - Interpol heute - Struktur - Die Kernfunktionen Interpols Europol (oder: Europäisches Polizeiamt) - Kurzer geschichtlicher Abriss - Europol heute - Struktur Die Kontrolle Europols - Die Kernaufgaben Europols - Wie arbeiten die internationalen Polizeibehörden tatsächlich? - Vorboten einer Weltpolizei?
Mutawa
(2009)