On the Feller property of Dirichlet forms generated by pseudo differential operators

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概要

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• We show that a large class of regular symmetric Dirichlet forms is generated by pseudo differential operators. We calculate the symbols which are closely related to the semimartingale characteristics (Levy system) of the associated stochastic processes. Using the symbol we obtain estimates for the mean sojourn time of the process for balls. These estimates and a perturbation argument enable us to prove Holder regularity of the resolvent and semigroup; this entails that the semigroup has the Feller property.

著者

• Schilling Rene

  Fb 12 - Mathematik Philipps-universitat Marburg

• Uemura Toshihiro

  Department of Mathematics, University of Connecticut

• Uemura Toshihiro

  Department Of Mathematics University Of Connecticut

• Uemura Toshihiro

  Department Of Mathematics Faculty Of Engineering Science Kansai University

関連論文

• On the Feller property of Dirichlet forms generated by pseudo differential operators
• On the Structure of the Domain of a Symmetric Jump-type Dirichlet Form

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