@unpublished{FangXu2005, author = {Fang, Daoyuan and Xu, Jiang}, title = {Asymptotic behavior of solutions to multidimensional nonisentropic hydrodynamic model for semiconductors}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-29767}, year = {2005}, abstract = {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solutions converge to the stationary solutions in time asymptotically exponentially fast.}, language = {en} } @unpublished{Witt2001, author = {Witt, Ingo}, title = {Asymptotic algebras}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-26069}, year = {2001}, abstract = {The concept of asymptotic type that primarily appears in singular and asymptotic analysis is developed. Especially, asymptotic algebras are introduced.}, language = {en} } @unpublished{Paneah2006, author = {Paneah, Boris}, title = {Another approach to the stability of linear functional operators}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-30139}, year = {2006}, abstract = {Contents: 1 Introduction. 2 The main notations and notions. 3 Statement of results 4 Proofs of the main results.}, language = {en} } @unpublished{Tarkhanov2002, author = {Tarkhanov, Nikolai Nikolaevich}, title = {Anisotropic edge problems}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-26280}, year = {2002}, abstract = {We investigate elliptic pseudodifferential operators which degenerate in an anisotropic way on a submanifold of arbitrary codimension. To find Fredholm problems for such operators we adjoint to them boundary and coboundary conditions on the submanifold.The algebra obtained this way is a far reaching generalisation of Boutet de Monvel's algebra of boundary value problems with transmission property. We construct left and right regularisers and prove theorems on hypoellipticity and local solvability.}, language = {en} } @unpublished{KytmanovMyslivetsTarkhanov1999, author = {Kytmanov, Alexander and Myslivets, Simona and Tarkhanov, Nikolai Nikolaevich}, title = {Analytic representation of CR Functions on hypersurfaces with singularities}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-25631}, year = {1999}, abstract = {We prove a theorem on analytic representation of integrable CR functions on hypersurfaces with singular points. Moreover, the behaviour of representing analytic functions near singular points is investigated. We are aimed at explaining the new effect caused by the presence of a singularity rather than at treating the problem in full generality.}, language = {en} } @article{TillmannKroemkerHornetal.2018, author = {Tillmann, Alexander and Kr{\"o}mker, Detlef and Horn, Florian and Gattinger, Thorsten}, title = {Analysing \& Predicting Students Performance in an Introductory Computer Science Course}, series = {Commentarii informaticae didacticae}, journal = {Commentarii informaticae didacticae}, number = {12}, publisher = {Universit{\"a}tsverlag Potsdam}, address = {Potsdam}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus4-416307}, pages = {29 -- 45}, year = {2018}, abstract = {Students of computer science studies enter university education with very different competencies, experience and knowledge. 145 datasets collected of freshmen computer science students by learning management systems in relation to exam outcomes and learning dispositions data (e. g. student dispositions, previous experiences and attitudes measured through self-reported surveys) has been exploited to identify indicators as predictors of academic success and hence make effective interventions to deal with an extremely heterogeneous group of students.}, language = {en} } @book{Pilipenko2014, author = {Pilipenko, Andrey}, title = {An introduction to stochastic differential equations with reflection}, series = {Lectures in pure and applied mathematics}, journal = {Lectures in pure and applied mathematics}, number = {1}, publisher = {Universit{\"a}tsverlag Potsdam}, address = {Potsdam}, isbn = {978-3-86956-297-1}, issn = {2199-4951}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-70782}, publisher = {Universit{\"a}t Potsdam}, pages = {ix, 75}, year = {2014}, abstract = {These lecture notes are intended as a short introduction to diffusion processes on a domain with a reflecting boundary for graduate students, researchers in stochastic analysis and interested readers. Specific results on stochastic differential equations with reflecting boundaries such as existence and uniqueness, continuity and Markov properties, relation to partial differential equations and submartingale problems are given. An extensive list of references to current literature is included. This book has its origins in a mini-course the author gave at the University of Potsdam and at the Technical University of Berlin in Winter 2013.}, language = {en} } @unpublished{ManicciaSchulze2002, author = {Maniccia, L. and Schulze, Bert-Wolfgang}, title = {An algebra of meromorphic corner symbols}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-26360}, year = {2002}, abstract = {Operators on manifolds with corners that have base configurations with geometric singularities can be analysed in the frame of a conormal symbolic structure which is in spirit similar to the one for conical singularities of Kondrat'ev's work. Solvability of elliptic equations and asymptotics of solutions are determined by meromorphic conormal symbols. We study the case when the base has edge singularities which is a natural assumption in a number of applications. There are new phenomena, caused by a specific kind of higher degeneracy of the underlying symbols. We introduce an algebra of meromorphic edge operators that depend on complex parameters and investigate meromorphic inverses in the parameter-dependent elliptic case. Among the examples are resolvents of elliptic differential operators on manifolds with edges.}, language = {en} } @unpublished{Schulze1999, author = {Schulze, Bert-Wolfgang}, title = {An algebra of boundary value problems not requiring Shapiro-Lopatinskil conditions}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-25596}, year = {1999}, abstract = {We construct an algebra of pseudo-differential boundary value problems that contains the classical Shapiro-Lopatinskij elliptic problems as well as all differential elliptic problems of Dirac type with APS boundary conditions, together with their parametrices. Global pseudo-differential projections on the boundary are used to define ellipticity and to show the Fredholm property in suitable scales of spaces.}, language = {en} } @misc{Reich1980, author = {Reich, Sebastian}, title = {Algebrodifferentialgleichungen und Vektorfelder auf Mannigfaltigkeiten}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-47290}, year = {1980}, abstract = {In diesem Beitrag wird der Zusammenhang zwischen Algebrodifferentialgleichungen (ADGL) und Vektorfeldern auf Mannigfaltigkeiten untersucht. Dazu wird zun{\"a}chst der Begriff der regul{\"a}ren ADGL eingef{\"u}hrt, wobei unter eirter regul{\"a}ren ADGL eine ADGL verstanden wird, deren L{\"o}sungsmenge identisch mit der L{\"o}sungsmenge eines Vektorfeldes ist. Ausgehend von bekannten Aussagen {\"u}ber die L{\"o}sungsmenge eines Vektorfeldes werden analoge Aussagen f{\"u}r die L{\"o}sungsmenge einer regul{\"a}ren ADGL abgeleitet. Es wird eine Reduktionsmethode angegeben, die auf ein Kriterium f{\"u}r die Begularit{\"a}t einer ADGL und auf die Definition des Index einer nichtlinearen ADGL f{\"u}hrt. Außerdem wird gezeigt, daß beliebige Vektorfelder durch regul{\"a}re ADGL so realisiert werden k{\"o}nnen, daß die L{\"o}sungsmenge des Vektorfeldes mit der der realisierenden ADGL identisch ist. Abschließend werden die f{\"u}r autonome ADGL gewonnenen Aussagen auf den Fall der nichtautonomen ADGL {\"u}bertragen.}, language = {de} }