Perturbation of the boundary in boundary-value problems of partial differential equations
Perturbation of the boundary is a rather neglected topic in the study of PDEs for two main reasons. First, on the surface it appears trivial, merely a change of variables and an application of the chain rule. Second, carrying out such a change of variables frequently results in long and difficult ca...
| Main Author: | |
|---|---|
| Format: | eBook |
| Language: | English |
| Published: |
Cambridge
Cambridge University Press
2005
|
| Series: | London Mathematical Society lecture note series
|
| Subjects: | |
| Online Access: | |
| Collection: | Cambridge Books Online - Collection details see MPG.ReNa |
Table of Contents:
- Geometrical preliminaries
- Differential calculus of boundary perturbations
- Examples using the implicit function theorem
- Bifurcation problems
- The tranversality theorem
- Generic perturbation of the boundary
- Boundary operators for second-order elliptic equations
- The method of rapidly-oscillating solutions