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...
| Otros Autores: | |
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| Formato: | Libro electrónico |
| Idioma: | Inglés |
| Publicado: |
Cambridge :
Cambridge University Press
2005.
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| Colección: | CUP ebooks.
London Mathematical Society lecture note series ; 318. |
| Acceso en línea: | Conectar con la versión electrónica |
| Ver en Universidad de Navarra: | https://innopac.unav.es/record=b45436459*spi |
Tabla de Contenidos:
- 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.
