Further pseudodifferential operators generating Feller semigroups and Dirichlet forms.

Autores: Niels Jacob
Localización: Revista matemática iberoamericana, ISSN 0213-2230, Vol. 9, Nº 2, 1993, págs. 373-407
Idioma: inglés
DOI: 10.4171/rmi/141
Títulos paralelos:
- Más operadores pseudodiferenciales generadores de semigrupos de Feller y formas de Dirichlet.
Enlaces
- Texto completo (pdf)
Resumen
- We prove for a large class of symmetric pseudo differential operators that they generate a Feller semigroup and therefore a Dirichlet form. Our construction uses the Yoshida-Hille-Ray Theorem and a priori estimates in anisotropic Sobolev spaces. Using these a priori estimates it is possible to obtain further information about the stochastic process associated with the Dirichlet form under consideration.