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
• Títulos paralelos:
  • Más operadores pseudodiferenciales generadores de semigrupos de Feller y formas de Dirichlet.
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• 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.