Ebook: Boundary Integral Equations on Contours with Peaks
- Tags: Integral Equations
- Series: Operator Theory: Advances and Applications 196
- Year: 2010
- Publisher: Birkhäuser Basel
- Edition: 1
- Language: English
- pdf
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 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.
Content:
Front Matter....Pages i-xi
L p -theory of Boundary Integral Equations on a Contour with Peak....Pages 1-100
Boundary Integral Equations in H?lder Spaces on a Contour with Peak....Pages 101-213
Asymptotic Formulae for Solutions of Boundary Integral Equations Near Peaks....Pages 215-272
Integral Equations of Plane Elasticity in Domains with Peak....Pages 273-334
Back Matter....Pages 335-342
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.
Content:
Front Matter....Pages i-xi
L p -theory of Boundary Integral Equations on a Contour with Peak....Pages 1-100
Boundary Integral Equations in H?lder Spaces on a Contour with Peak....Pages 101-213
Asymptotic Formulae for Solutions of Boundary Integral Equations Near Peaks....Pages 215-272
Integral Equations of Plane Elasticity in Domains with Peak....Pages 273-334
Back Matter....Pages 335-342
....