Elliptic boundary value problems in domains with point singularities /

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Bibliographic Details
Author / Creator:Kozlov, V. A.
Imprint:Providence, R.I. : American Mathematical Society, c1997.
Description:ix, 414 p. : ill. ; 26 cm.
Language:English
Series:Mathematical surveys and monographs, 0076-5376 ; v. 52
Mathematical surveys and monographs no. 52.
Subject:
Format: Print Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/2787772
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Other authors / contributors:Mazʹi͡a, V. G.
Rossmann, J. (Jürgen), 1954-
ISBN:0821807544 (alk. paper)
Notes:Includes bibliographical references (p. 397-407) and index.
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Description
Summary: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.
Physical Description:ix, 414 p. : ill. ; 26 cm.
Bibliography:Includes bibliographical references (p. 397-407) and index.
ISBN:0821807544
ISSN:0076-5376
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