Cargando…
Hodge theory in the Sobolev topology for the de Rham complex /
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Otros Autores: | , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Providence, R.I. :
American Mathematical Society,
©1998.
|
| Colección: | Memoirs of the American Mathematical Society ;
no. 622. |
| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Preliminaries 0. Introductory remarks 1. Basic notation and definitions 2. Formulation of the problem and statement of the main results The problem on the half space 3. The operator $d$* on 1-forms and its domain 4. Boutet De Monvel-type analysis of the boundary value problem 5. The explicit solution in the case of functions 6. Analysis of the problem on the half space for $q$-forms The case of smoothly bounded domains 7. Formulation of the problem on a smoothly bounded domain 8. A special coordinate system 9. The existence theorem 10. The regularity theorem in the case of functions 11. Estimates for $q$-forms 12. The decomposition theorem and conclusions 13. Final remarks.