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Item Details
Title:
ELLIPTIC BOUNDARY VALUE PROBLEMS IN DOMAINS WITH POINT SINGULARITIES
By:
V. A. Kozlov, Vladimir Maz'ya, J. Rossmann
Format:
Hardback
List price:
£113.00
Our price:
£109.61
Discount:
3
% off
You save:
£3.39
ISBN 10:
0821807544
ISBN 13:
9780821807545
Availability:
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Publisher:
AMERICAN MATHEMATICAL SOCIETY
Pub. date:
1 January, 1997
Series:
Mathematical Surveys and Monographs No. 52
Pages:
414
Description:
Aims to treat a theory of elliptic boundary value problems in domains without singularities and in domains with conical or cuspidal points. This work focuses on fundamental results of the theory: estimates for solutions in different function spaces, regularity assertions and asymptotic formulas for the solutions near singular points.
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.
Publication:
US
Imprint:
American Mathematical Society
Returns:
Returnable
Some other items by this author:
APPROXIMATE APPROXIMATIONS (HB)
ASYMPTOTIC ANALYSIS OF FIELDS IN MULTI-STRUCTURES (HB)
ASYMPTOTIC THEORY OF ELLIPTIC BOUNDARY VALUE PROBLEMS IN SINGULARLY PERTURBED DOMAINS (PB)
ASYMPTOTIC THEORY OF ELLIPTIC BOUNDARY VALUE PROBLEMS IN SINGULARLY PERTURBED DOMAINS (PB)
BOUNDARY INTEGRAL EQUATIONS ON CONTOURS WITH PEAKS (HB)
DIFFERENTIAL EQUATIONS OF MY YOUNG YEARS (HB)
DIFFERENTIAL EQUATIONS OF MY YOUNG YEARS (PB)
DIFFERENTIAL EQUATIONS WITH OPERATOR COEFFICIENTS (PB)
ELLIPTIC EQUATIONS IN POLYHEDRAL DOMAINS (HB)
GREEN'S KERNELS AND MESO-SCALE APPROXIMATIONS IN PERFORATED DOMAINS (PB)
JACQUES HADAMARD (PB)
MASS UPRISINGS IN THE USSR (HB)
MASS UPRISINGS IN THE USSR (PB)
MASS UPRISINGS IN THE USSR: PROTEST AND REBELLION IN THE POST-STALIN YEARS
MASS UPRISINGS IN THE USSR: PROTEST AND REBELLION IN THE POST-STALIN YEARS
MASS UPRISINGS IN THE USSR: PROTEST AND REBELLION IN THE POST-STALIN YEARS
MAXIMUM PRINCIPLES AND SHARP CONSTANTS FOR SOLUTIONS OF ELLIPTIC AND PARABOLIC SYSTEMS (HB)
RECENT TRENDS IN OPERATOR THEORY AND PARTIAL DIFFERENTIAL EQUATIONS (HB)
SEMI-BOUNDED DIFFERENTIAL OPERATORS, CONTRACTIVE SEMIGROUPS AND BEYOND (HB)
SEMI-BOUNDED DIFFERENTIAL OPERATORS, CONTRACTIVE SEMIGROUPS AND BEYOND (PB)
SHARP REAL PART THEOREMS (PB)
SOBOLEV SPACES (HB)
SOBOLEV SPACES : WITH APPLICATIONS TO EL (PB)
SOBOLEV SPACES IN MATHEMATICS
SOBOLEV SPACES IN MATHEMATICS (HB)
SOBOLEV SPACES IN MATHEMATICS (HB)
SOBOLEV SPACES IN MATHEMATICS (PB)
SOBOLEV SPACES IN MATHEMATICS (PB)
SPECTRAL PROBLEMS ASSOCIATED WITH CORNER SINGULARITIES OF SOLUTIONS TO ELLIPTIC EQUATIONS (HB)
THE MAZ'YA ANNIVERSARY COLLECTION (HB)
THE MAZ'YA ANNIVERSARY COLLECTION (HB)
THE MAZ'YA ANNIVERSARY COLLECTION (HB)
THEORY OF SOBOLEV MULTIPLIERS (HB)
THEORY OF SOBOLEV MULTIPLIERS (PB)
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