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This book presents boundary value problems for arbitrary elliptic pseudo-differential operators on a smooth compact manifold with boundary. In this regard, every operator admits global projection boundary conditions, giving rise to analogues of Toeplitz operators in subspaces of Sobolev spaces on the boundary associated with pseudo-differential projections. The book describes how these operator classes form algebras, and establishes the concep...

This book presents boundary value problems for arbitrary elliptic pseudo-differential operators on a smooth compact manifold with boundary. In this regard, every operator admits global projection boundary conditions, giving rise to analogues of Toeplitz operators in subspaces of Sobolev spaces on the boundary associated with pseudo-differential projections. The book describes how these operator classes form algebras, and establishes the concep...

Die innerdeutsche Grenze verlief nicht nur zwischen zwei Staaten, sondern spiegelte sich sogar in den Grundlagenwissenschaften wie der Mathematik wider. Aus persönlicher Sicht zeigt der Autor den subjektiven Umgang mit Erzeugung, Bewertung und Propagierung wissenschaftlicher Resultate in den zwei unterschiedlichen Gesellschaftssystemen. Auf unterhaltsame Art werden Innensichten aus Forschungsinstitutionen, der Wissenschaftsförderung und die ve...

This volume contains the proceedings of "PDE 2000", the international conference on partial differential equations held July 24 -28, 2000, in Clausthal. The confer­ ence took place during the EXPO 2000 and was sponsored by the Land Nieder­ sachsen, the Deutsche Forschungsgemeinschaft, the Bergstadt Clausthal-Zellerfeld and the Kreissparkasse Clausthal-Zellerfeld. This conference continues a series: Ludwigfelde 1976, Reinhardsbrunn 1985, Holz­ ...

Boundary Value Problems and Singular Pseudo-differential Operators covers the analysis of pseudo-differential operators on manifolds with conical points and edges. The standard singular integral operators on the half-axis as well as boundary value problems on smooth manifolds are treated as particular cone and wedge theories. Particular features of the book are: * A self-contained presentation of the cone pseudo-differential calculus * A gene...

This volume contains the proceedings of the International Conference on "Par­ tial Differential Equations" held in HolzhaujErzgebirge, Germany, July 3~9, 1994. The conference was sponsored by the Max-Planck-Gesellschaft, the Deutsche For­ schungsgemeinschaft, the Land Brandenburg and the Freistaat Sachsen. It was initiated by the Max-Planck-Research Group "Partielle Differential­ gleichungen und Komplexe Analysis" at the University of Potsdam ...

Pseudo-differential operators belong to the most powerful tools in the analysis of partial differential equations. Basic achievements in the early sixties have initiated a completely new understanding of many old and important problems in analy­ sis and mathematical physics. The standard calculus of pseudo-differential and Fourier integral operators may today be considered as classical. The development has been continuous since the early days ...

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The present volume is dedicated to modern topics of the theory of hyperbolic equations such as evolution equations, multiple characteristics, propagation phenomena, global existence, influence of nonlinearities.It is addressed to beginners as well as specialists in these fields. The contributions are to a large extent self-contained. Key topics include:- low regularity solutions to the local Cauchy problem associated with wave maps, local well...