Refine
Has Fulltext
- yes (329)
Year of publication
Document Type
- Preprint (283)
- Article (25)
- Postprint (16)
- Monograph/Edited Volume (3)
- Doctoral Thesis (2)
Language
- English (309)
- German (17)
- French (2)
- Multiple languages (1)
Is part of the Bibliography
- no (329) (remove)
Keywords
- random point processes (15)
- statistical mechanics (15)
- stochastic analysis (15)
- elliptic operators (9)
- boundary value problems (8)
- index (8)
- K-theory (7)
- manifolds with singularities (6)
- pseudodifferential operators (6)
- relative index (6)
- Atiyah-Patodi-Singer theory (5)
- Fredholm property (5)
- index theory (5)
- Boundary value problems (4)
- elliptic operator (4)
- manifold with singularities (4)
- surgery (4)
- 'eta' invariant (3)
- Atiyah-Bott condition (3)
- Probabilistic Cellular Automata (3)
- boundary value problem (3)
- cluster expansion (3)
- conical singularities (3)
- conormal symbol (3)
- differential operators (3)
- ellipticity (3)
- eta invariant (3)
- index of elliptic operators in subspaces (3)
- spectral flow (3)
- Atiyah-Bott obstruction (2)
- Carleman matrix (2)
- Chemotaxis (2)
- Dirac operators (2)
- Fredholm operators (2)
- Hodge theory (2)
- Kompetenzen (2)
- Laplace equation (2)
- Lefschetz fixed point formula (2)
- Mellin transform (2)
- Teamarbeit (2)
- Toeplitz operators (2)
- Zaremba problem (2)
- aerosol size distribution (2)
- censoring (2)
- edge singularities (2)
- edge-degenerate operators (2)
- elliptic boundary value problems (2)
- elliptic complexes (2)
- elliptic families (2)
- elliptic family (2)
- elliptic system (2)
- eta-invariant (2)
- holomorphic solution (2)
- homotopy classification (2)
- ill-posed problem (2)
- index formulas (2)
- inversion (2)
- linking coefficients (2)
- manifolds with conical singularities (2)
- manifolds with edges (2)
- maximum likelihood estimator (2)
- modn-index (2)
- monodromy matrix (2)
- pseudo-differential boundary value problems (2)
- pseudodiferential operators (2)
- quantization (2)
- regularization (2)
- regularizer (2)
- regularizers (2)
- reversible measure (2)
- singular partial differential equation (2)
- star-product (2)
- symmetry conditions (2)
- the Cauchy problem (2)
- weighted edge spaces (2)
- weighted spaces (2)
- (co)boundary operator (1)
- 1st Eigenvalue (1)
- APS problem (1)
- Analyse (1)
- Andere Fachrichtungen (1)
- Approximate likelihood (1)
- Atiyah-Singer theorem (1)
- Attractive Dynamics (1)
- Beltrami equation (1)
- Beweisaufgaben (1)
- Big Data (1)
- Blended Learning (1)
- Blended learning (1)
- Boundary-contact problems (1)
- Bounds (1)
- Brownian bridge (1)
- C-Test (1)
- C0−semigroup (1)
- Calculus of conormal symbols (1)
- Calderón projections (1)
- Canonical Gibbs measure (1)
- Capture into resonance (1)
- Casped plates (1)
- Categories of stratified spaces (1)
- Cauchy Riemann operator (1)
- Cauchy problem (1)
- Chern character (1)
- Codeverständnis (1)
- Corner boundary value problems (1)
- Coupling (1)
- Crack theory (1)
- DLR equation (1)
- Data Literacy (1)
- Data Science (1)
- Degenerationsprozesse (1)
- Diffusionsprozess (1)
- Diophantine Approximation (1)
- Dirichlet to Neumann operator (1)
- Dispositional learning analytics (1)
- Doblin (1)
- Doeblin (1)
- Döblin (1)
- ERgodicity of Markov Chains (1)
- Edge-degenerate operators (1)
- Elliptic equation with order degeneration (1)
- Elliptic operators in domains with edges (1)
- Empirische Untersuchung (1)
- Euler operator (1)
- Euler's theta functions (1)
- Explorative Datenanalyse (1)
- Fertigkeiten (1)
- Form (1)
- Formale Sprachen und Automaten (1)
- Formative assessment (1)
- Forschung (1)
- G-index (1)
- G-trace (1)
- Gevrey classes (1)
- Gibbs field (1)
- Gibbs measures (1)
- Gibbs perturbation (1)
- Girsanov formula (1)
- Global Analysis (1)
- Goursat problem (1)
- Green and Mellin edge operators (1)
- Green operator (1)
- Grushin operator (1)
- Gutzwiller formula (1)
- Habitus (1)
- Hamilton-Jacobi theory (1)
- Hamiltonian group action (1)
- Hardy‘s inequality (1)
- Hochschulkurse (1)
- Hochschullehre (1)
- Hyperbolic-parabolic system (1)
- Hypoellipticity (1)
- Ill-posed problem (1)
- Informatik (1)
- Informatik für alle (1)
- Informationskompetenz (1)
- Inhalte (1)
- Inhaltsanalyse (1)
- Integrability (1)
- Interacting Particle Systems (1)
- Interacting particle systems (1)
- KS model (1)
- Kollaboration (1)
- Kolmogorov-Gleichung (1)
- Kompetenzmessung (1)
- Korn’s weighted inequality (1)
- Lagrangian submanifolds (1)
- Lame system (1)
- Learning analytics (1)
- Learning dispositions (1)
- Lefschetz number (1)
- Lehre (1)
- Lehrevaluation (1)
- Levy measure (1)
- Logarithmic Sobolev inequality (1)
- Lückentext (1)
- Lφ spectrum (1)
- Markov chain (1)
- Markov processes (1)
- Maslov and Conley–Zehnder index (1)
- Mathematics Tasks (1)
- Mathematik (1)
- Mathematikaufgaben (1)
- Meromorphic operator functions (1)
- Monte Carlo testing (1)
- Multidimensional nonisentropic hydrodynamic model (1)
- Multiwavelength LIDAR (1)
- Neumann problem (1)
- Non-linear (1)
- Nonlinear (1)
- Nonlinear Laplace operator (1)
- Objektive Hermeneutik (1)
- Operators on manifolds with conical singularities (1)
- Operators on manifolds with edge (1)
- Operators on manifolds with edge and conical exit to infinity (1)
- PISA (1)
- Perron's method (1)
- Physik (1)
- Poisson bridge (1)
- Pontrjagin duality (1)
- Programmierausbildung (1)
- Projekte (1)
- Pseudo-differential operators (1)
- Pseudodifferential operators (1)
- Quasiconformal mapping (1)
- Quasilinear hyperbolic system (1)
- Ramified Cauchy problem (1)
- Re-Engineering (1)
- Reciprocal process (1)
- Reflektierende Randbedingungen (1)
- Riemann-Roch theorem (1)
- SPECT (1)
- Saturation model (1)
- Second order elliptic equations (1)
- Semiklassik (1)
- Sobolev problem (1)
- Sobolev spaces with double weights on singular cones (1)
- Software Engineering (1)
- Softwareentwicklung (1)
- Space (1)
- Spectral Geometry (1)
- Spin Geometry (1)
- Stochastic Differential Equation (1)
- Stochastic Ordering (1)
- Stochastic differential equations (1)
- Stochastik (1)
- Stochastische Analysis (1)
- Stochastische Zellulare Automaten (1)
- Streuamplitude (1)
- Streutheorie (1)
- Strukturverbesserung (1)
- Studiengänge (1)
- Studierendenperformance (1)
- Submanifolds (1)
- Surface potentials with asymptotics (1)
- Survival models with covariates (1)
- System of nonlocal PDE of first order (1)
- Tests (1)
- Theoretische Informatik (1)
- Tikhonov regularization (1)
- Vincent (1)
- Viscosity solutions (1)
- Volterra symbols (1)
- WKB method (1)
- Wahrscheinlichkeitstheorie (1)
- Wartung von Lehrveranstaltungen (1)
- Weak Mixing Condition (1)
- Wechselwirkende Teilchensysteme (1)
- Weyl algebras bundle (1)
- Weyl symbol (1)
- Wissenschaftliches Arbeiten (1)
- Wolfgang (1)
- absorbing set (1)
- absorption (1)
- accelerated life time model (1)
- aerosol distribution (1)
- analytic continuation (1)
- analytic index (1)
- anisotropic spaces (1)
- asymptotic behavior (1)
- asymptotic stable (1)
- asymptotics of solutions (1)
- attenuated Radon transform (1)
- bar with variable cross-section (1)
- bending of an orthotropic cusped plate (1)
- boun- dedness (1)
- boundary values problems (1)
- bundles (1)
- canonical discretization schemes (1)
- classical and quantum reduction (1)
- coated and absorbing aerosols (1)
- cohomology (1)
- comparison principle (1)
- compressible Euler equations (1)
- conditioned (1)
- conditioned Feller diffusion (1)
- connections (1)
- conormal asymptotic expansions (1)
- conormal asymptotics (1)
- conormal symbols (1)
- conservation laws (1)
- consistency (1)
- constrained Hamiltonian systems (1)
- contact transformations (1)
- continuous time Markov Chains (1)
- corner Sobolev spaces with double weights (1)
- coupled solution (1)
- coupling (1)
- covering (1)
- critical and subcritical Dawson-Watanabe process (1)
- cusped bar (1)
- de Rham complex (1)
- de Sitter model ; Fundamental solutions ; Decay estimates (1)
- deformation quantization (1)
- degenerate elliptic equations (1)
- degenerate elliptic systems (1)
- detailed balance equation (1)
- differential-algebraic equations (1)
- diffusion process (1)
- dimension functional (1)
- discrete saymptotic types (1)
- division algebras (1)
- divisors (1)
- domains with singularities (1)
- duale IT-Ausbildung (1)
- duality formula (1)
- e-Assessment (1)
- e-Learning (1)
- edge Sobolev spaces (1)
- edge algebra (1)
- edge spaces (1)
- edge symbol (1)
- elastic bar (1)
- elliptic functions (1)
- elliptic morphism (1)
- elliptic operators in subspaces (1)
- elliptic operators on non-compact manifolds (1)
- elliptic problem (1)
- elliptic systems (1)
- ellipticity in the edge calculus (1)
- ellipticity of cone operators (1)
- ellipticity of corners operators (1)
- ellipticity with interface conditions (1)
- ellipticity with respect to interior and edge symbols (1)
- energetic space (1)
- estimation of regression (1)
- exponential function (1)
- exponential stability (1)
- exterior tensor product (1)
- fibre coordinates (1)
- finiteness theorem (1)
- force unification (1)
- forschungsorientiertes Lernen (1)
- fully non-linear degenerate parabolic equations (1)
- fundamental solution (1)
- gauge group (1)
- geodesics (1)
- geometric optics approximation (1)
- global exact boundary controllability (1)
- global solution (1)
- global solutions (1)
- good-inner function (1)
- goodness of fit (1)
- goodness-of-fit testing (1)
- hard core interaction (1)
- hard core potential (1)
- heterogeneity (1)
- hyperbolic operators (1)
- illposed problem (1)
- index formula (1)
- index of elliptic operator (1)
- infinite-dimensional Brownian diffusion (1)
- infinite-dimensional diffusion (1)
- integral formulas (1)
- interfaces with conical singularities (1)
- inverse ill-posed problem (1)
- kernel estimator of the hazard rate (1)
- least squares estimator (1)
- lifespan (1)
- limit theorem for integrated squared difference (1)
- local time (1)
- manifold with edge (1)
- manifolds with cusps (1)
- matching of asymptotic expansions (1)
- mathematics (1)
- meromorphic family (1)
- metaplectic operators (1)
- mixed elliptic problems (1)
- mod k index (1)
- moduli space of flat connections (1)
- modulo n index (1)
- molecular motor (1)
- mollifier method (1)
- moment map (1)
- monotone coupling (1)
- monotone method (1)
- monotonicity (1)
- multilayered coated and absorbing aerosol (1)
- multiple characteristics (1)
- multitype measure-valued branching processes (1)
- multiwavelength Lidar (1)
- multiwavelength lidar (1)
- new recursive algorithm (1)
- non-Markov drift (1)
- non-coercive boundary conditions (1)
- nondegenerate condition (1)
- nonhomogeneous boundary value problems (1)
- nonlinear invers problem (1)
- nonlinear optimization (1)
- nonlocal problem (1)
- nonparametric regression estimation (1)
- norm estimates with respect to a parameter (1)
- normal reflection (1)
- operator algebras on manifolds with singularities (1)
- operators on manifolds with conical and edge singularities (1)
- operators on manifolds with edges (1)
- operators on manifolds with singularities (1)
- order reduction (1)
- parallelizable spheres (1)
- parameter-dependent cone operators (1)
- parameter-dependent ellipticity (1)
- parameter-dependent pseudodifferential operators (1)
- parity condition (1)
- parity conditions (1)
- physics (1)
- polydisc (1)
- poset (1)
- principal symbolic hierarchies (1)
- problem of classification (1)
- profile likelihood (1)
- propor-tional hazard mode (1)
- pseudo-diferential operators (1)
- pseudo-differential operators (1)
- pseudo-differentialboundary value problems (1)
- pseudodifferential boundary value problems (1)
- pseudodifferential operator (1)
- pseudodifferential subspace (1)
- pseudodifferential subspaces (1)
- reciprocal processes (1)
- reflecting boundary (1)
- relative cohomology (1)
- relative index formulas (1)
- relative η-invariant (1)
- residue (1)
- root functions (1)
- scattering amplitude (1)
- scattering theory (1)
- semiclassics (1)
- semiconductors (1)
- semiprocess (1)
- shock wave (1)
- small parameter (1)
- spectral boundary value problems (1)
- spectral independence (1)
- spectral resolution (1)
- spectral theorem (1)
- star product (1)
- stochastic differential equations (1)
- stochastic ordering (1)
- stochastische Differentialgleichungen (1)
- subRiemannian geometry (1)
- symmetry group (1)
- symplectic (canonical) transformations (1)
- symplectic methods (1)
- symplectic reduction (1)
- system Lame (1)
- systems of partial differential equations (1)
- time duality (1)
- time symmetry (1)
- tomogrphy (1)
- transition path theory (1)
- ultracontractivity (1)
- uniform compact attractor (1)
- variable projection method (1)
- vibration (1)
- weighted Sobolev space (1)
- weighted Sobolev spaces with discrete saymptotics (1)
- weighted spaces with asymptotics (1)
- η-invariant (1)
- ∂-operator (1)
Institute
- Institut für Mathematik (329) (remove)
The aim of these lectures is a reformulation and generalization of the fundamental investigations of Alexander Bach [2, 3] on the concept of probability in the work of Boltzmann [6] in the language of modern point process theory. The dominating point of view here is its subordination under the disintegration theory of Krickeberg [14]. This enables us to make Bach's consideration much more transparent. Moreover the point process formulation turns out to be the natural framework for the applications to quantum mechanical models.
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.
In this paper, the problem on formation and construction of a shock wave for three dimensional compressible Euler equations with the small perturbed spherical initial data is studied. If the given smooth initial data satisfies certain nondegenerate condition, then from the results in [20], we know that there exists a unique blowup point at the blowup time such that the first order derivates of smooth solution blow up meanwhile the solution itself is still continuous at the blowup point. From the blowup point, we construct a weak entropy solution which is not uniformly Lipschitz continuous on two sides of shock curve, moreover the strength of the constructed shock is zero at the blowup point and then gradually increases. Additionally, some detailed and precise estimates on the solution are obtained in the neighbourhood of the blowup point.
This note is devoted to the study on the global existence of a shock wave for the supersonic flow past a curved wedge. When the curved wedge is a small perturbation of a straight wedge and the angle of the wedge is less than some critical value, wwe show that a shock attached at the wedge will exist globally.
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.
Contents: 1 Introduction 2 Main result 3 Construction of the asymptotic solutions 3.1 Derivation of the equations for the profiles 3.2 Exsistence of the principal profile 3.3 Determination of Usub(2) and the remaining profiles 4 Stability of the samll global solutions. Justification of One Phase Nonlinear Geometric Optics for the Kirchhoff-type equations 4.1 Stability of the global solutions to the Kirchhoff-type symmetric hyperbolic systems 4.2 The nonlinear system of ordinary differential equations with the parameter 4.3 Some energies estimates 4.4 The dependence of the solution W(t, ξ) on the function s(t) 4.5 The oscillatory integrals of the bilinear forms of the solutions 4.6 Estimates for the basic bilinear form Γsub(s)(t) 4.7 Contraction mapping 4.8 Stability of the global solution 4.9 Justification of One Phase Nonlinear Geometric Optics for the Kirchhoff-type equations
It is shown that bounded solutions to semilinear elliptic Fuchsian equations obey complete asymptoic expansions in terms of powers and logarithms in the distance to the boundary. For that purpose, Schuze's notion of asymptotic type for conormal asymptotics close to a conical point is refined. This in turn allows to perform explicit calculations on asymptotic types - modulo the resolution of the spectral problem for determining the singular exponents in the asmptotic expansions.