Pseudo–Differential Calculus and Mathematical Physics: – Advances in Partial Differential Equations –: Vol 5 (Mathematical Topics) - Hardcover

Hardcover

ISBN 10: 3055016254 ISBN 13: 9783055016257

Publisher: Wiley VCH, 1994

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 Schrödinger operators with electromagnetic potential.

About this title

Synopsis

This volume covers recent developments in the analysis of psuedo-differential operators on manifolds with boundary and manifolds with conical singularities. It also presents new results in deformation quantization and scattering theory.

About the Author

Andreas Willershausen, University of Giessen, Germany.

Edition details

• Publisher: Wiley VCH
• Publication date: 1994
• ISBN 10: 3055016254
• ISBN 13: 9783055016257
• Binding: Hardcover
• Language: English
• Number of pages: 392
• Editor: Demuth Michael, Schrohe Elmar, Schulze Bert–Wolfgang