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9783540152842

Boundary Integral Equations

by ;
  • ISBN13:

    9783540152842

  • ISBN10:

    3540152849

  • Format: Hardcover
  • Copyright: 2008-05-01
  • Publisher: Springer Verlag
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Summary

"This book is devoted to the basic mathematical properties of solutions to boundary integral equations and presents a systematic approach to the variational methods for the boundary integral equations arising in elasticity, fluid mechanics, and acoustic scattering theory. It may also serve as the mathematical foundation of the boundary element methods. The latter have recently become extremely popular and efficient computational tools in applications. The authors are well known for their fundamental work on boundary integral equations and related topics, This book is a major scholarly contribution to the modern theory of boundary integral equations and should be accessible and useful to a large community of mathematical analysts, applied mathematicians, engineers and scientists."--BOOK JACKET.

Table of Contents

Introductionp. 1
Boundary Integral Equationsp. 25
Representation Formulaep. 95
Sobolev Spacesp. 159
Variational Formulationsp. 195
Introduction to Pseudodifferential Operatorsp. 303
Pseudodifferential Operators as Integral Operatorsp. 353
Pseudodifferential and Boundary Integral Operatorsp. 413
Integral Equations on [Gamma] [actual symbol not reproducible] IR[superscript 3] Recast as Pseudodifferential Equationsp. 493
Boundary Integral Equations on Curves in IR[superscript 2]p. 549
Differential Operators in Local Coordinates with Minimal Differentiabilityp. 593
Referencesp. 599
Indexp. 613
Table of Contents provided by Blackwell. All Rights Reserved.

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