ENGLISH

Elliptic boundary value problems in domains with point singularities

By V. A. Kozlov

Book information

Publisher
American Mathematical Society
Year
1997
ISBN
9780821807545, 0-8218-0754-4
ISSN
0076-5376
LCC
QA377 .K65 1997
Open Library ID
OL674535M
Language
english
Format
PDF
Filesize
28 MB (29648912 bytes)
Series
Mathematical surveys and monographs 52
Pages
409\409
Library
Techlib
Time added
2009-11-09 02:42:13

Description

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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