Pseudo-Differential Calculus and Mathematical Physics: Advances in Partial Differential Equations (Mathematical topics) - Hardcover

Hardcover

ISBN 10: 3527400389 ISBN 13: 9783527400386

Publisher: Wiley-VCH Verlag GmbH, 1999

Synopsis

A major step towards the understanding of differential operators on singular manifolds consists in the construction of algebras of pseudodifferential operators that will allow the solution of natural elliptic equations in terms of parametrix constructions. This leads to questions of elliptic regularity, Fredholm and index theory. The volume contains contributions to the theory of boundary value problems without the transmission property under the aspect of variable branching asymptotics, on commutator characterizations in and the submultiplicativity of Boutet de Monvel's algebra, the construction of a pseudodifferential calculus for boundary value problems on manifolds with conical singularities, and on heat kernel estimates for elliptic singular operators. Contributions from the area of Mathematical Physics address the problems of reduction and eigenstates in deformation quantization and spectral theory for Schrodinger operators with electromagnetic potential.

About this title

About the Author

Editors' affiliations: Michael Demuth, Professor, Technical University of Clausthal. Elmar Schrohe, Dr. rer. nat., University of Potsdam. Bert-Wolfgang Schulze, Professor, University of Potsdam, member of the editorial board of "Annals of Global Analysis and Geometry" and of the advisory board of "Mathematische Nachrichten".

Edition details

• Publisher: Wiley-VCH Verlag GmbH
• Publication date: 1999
• ISBN 10: 3527400389
• ISBN 13: 9783527400386
• Binding: Hardcover
• Language: English
• Number of pages: 391
• Editor: Demuth M., Schrohe Elmar, Schulze Bert-Wolfgang