Mathematical Surveys and Monographs Volume 52. ix, 414 p. 26 cm. Ex library with labels on spine and rear pastedown. Ink stamps on rear endpaper, top edge and title. Spine faded, corners a bit bumped. Spine head a bit bumped.

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Bibliographic Details

Title

Elliptic Boundary Value Problems in Domains with Point Singularities

Publisher

American Mathematical Society

Publication Date

1997

ISBN 10

0821807544

ISBN 13

9780821807545

Binding

Hardcover

Condition

ex library-very good

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Science

About this title

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.

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