Abstract
The Hunt process associated with a regular Dirichlet form for reflected Brownian motion on a bounded domain is considered. It is shown that a necessary condition for this process to be a semimartingale whose bounded variation part has an associated smooth measure with finite energy integral is that the domain be a Caccioppolis set.KeywordsBrownian MotionLipschitz DomainDirichlet FormFinite EnergyGeometric Measure TheoryThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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