ENGLISH

Boundary Integral Equations on Contours with Peaks

By Vladimir G. Maz’ya , Alexander A. Soloviev (auth.) , Tatyana Shaposhnikova (eds.)

Book information

Publisher
Birkhäuser Basel
Year
2010
ISBN
978-3-0346-0170-2, 978-3-0346-0171-9
DOI
10.1007/978-3-0346-0171-9
Language
english
Format
PDF
Filesize
2 MB (2059535 bytes)
Series
Operator Theory: Advances and Applications 196
Edition
1
Pages
344\350
Orientation
yes
Scanned
yes
Time added
2013-08-01 04:00:00
Integral Equations

Description

The purpose of this book is to give a comprehensive exposition of the theory of boundary integral equations for single and double layer potentials on curves with exterior and interior cusps. The theory was developed by the authors during the last twenty years and the present volume is based on their results. The first three chapters are devoted to harmonic potentials, and in the final chapter elastic potentials are treated. Theorems on solvability in various function spaces and asymptotic representations for solutions near the cusps are obtained. Kernels and cokernels of the integral operators are explicitly described. The method is based on a study of auxiliary boundary value problems which is of interest in itself.

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