Boundary Integral Equations on Contours with Peaks: Translated from Russian and edited by T. Shaposhnikova
2010 (English)Book (Other academic)
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.
Place, publisher, year, edition, pages
Birkhäuser , 2010, 1. , 356 p.
, Operator Theory: Advances and Applications, ISSN 0255-0156 ; 196
Dirichlet problem - Neumann problem - boundary integral equation - elasticity theory
IdentifiersURN: urn:nbn:se:liu:diva-60768ISBN: 978-3-0346-0170-2OAI: oai:DiVA.org:liu-60768DiVA: diva2:359039