Elliptic Boundary Value Problems in Domains with Point Singularities (Mathematical Surveys and Monographs) - Hardcover

Kozlov, Vladimir; Mazia, V. G.; Rossmann, Jurgen

Hardcover

ISBN 10: 0821807544 ISBN 13: 9780821807545

Publisher: American Mathematical Society, 1998

Synopsis

This monograph systematically treats a theory of elliptic boundary value problems in domains without singularities and in domains with conical or cuspidal points. This exposition is self-contained and a priori requires only basic knowledge of functional analysis. Restricting to boundary value problems formed by differential operators and avoiding the use of pseudo-differential operators makes the book accessible for a wider readership. The authors concentrate on fundamental results of the theory: estimates for solutions in different function spaces, the Fredholm property of the operator of the boundary value problem, regularity assertions and asymptotic formulas for the solutions near singular points. A special feature of the book is that the solutions of the boundary value problems are considered in Sobolev spaces of both positive and negative orders. Results of the general theory are illustrated by concrete examples. The book may be used for courses in partial differential equations.

Edition details

• Publisher: American Mathematical Society
• Publication date: 1998
• Language: English
• ISBN 10: 0821807544
• ISBN 13: 9780821807545
• Binding: Hardcover
• Number of pages: 414