Revista Matemática Iberoamericana
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Published online: 1993-08-31
Further pseudodifferential operators generating Feller semigroups and Dirichlet formsNiels Jacob (1) University of Wales, Swansea, UK
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.
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Jacob Niels: Further pseudodifferential operators generating Feller semigroups and Dirichlet forms. Rev. Mat. Iberoam. 9 (1993), 373-407. doi: 10.4171/RMI/141