JournalsrmiVol. 9, No. 2pp. 373–407

Further pseudodifferential operators generating Feller semigroups and Dirichlet forms

  • Niels Jacob

    University of Wales, Swansea, UK
Further pseudodifferential operators generating Feller semigroups and Dirichlet forms cover
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Abstract

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 Yosida-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.

Cite this article

Niels Jacob, Further pseudodifferential operators generating Feller semigroups and Dirichlet forms. Rev. Mat. Iberoam. 9 (1993), no. 2, pp. 373–407

DOI 10.4171/RMI/141