Boundary integral equations on contours with peaks

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. The only book dedicated to boundary integral equations for non-Lipschitz domains New method, different from the traditional approach based on the theories of Fredholm and singular integral operators Detailed study of both functional analytic and asymptotic properties of solutions

• ISBN: 978-3-0346-0170-2
• Editorial: Birkhaüser
• Encuadernacion: Cartoné
• Páginas: 360
• Fecha Publicación: 01/09/2009
• Nº Volúmenes: 1
• Idioma: Inglés