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Fundamental solutions and local solvability for nonsmooth Hörmander's operators /
The authors consider operators of the form L=\sum_{i=1}^{n}X_{i}^{2}+X_{0} in a bounded domain of \mathbb{R}^{p} where X_{0}, X_{1}, \ldots, X_{n} are nonsmooth Hörmander's vector fields of step r such that the highest order commutators are only Hölder continuous. Applying Levi's paramet...
| Clasificación: | Libro Electrónico |
|---|---|
| Autores principales: | , , , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Providence, Rhode Island :
American Mathematical Society,
2017.
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| Colección: | Memoirs of the American Mathematical Society ;
no. 1182. |
| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Introduction
- Some known results about nonsmooth Hörmander's vector fields
- Geometric estimates
- The parametrix method
- Further regularity of the fundamental solution and local solvability of L
- Appendix: Examples of nonsmooth Hörmander's operators satisfying assumptions A or B
- Bibliography.