Existence and approximation of Hunt processes associated with generalized Dirichlet forms

Abstract

We show that any strictly quasi-regular generalized Dirichlet form that satisfies the mild structural condition D3 is associated to a Hunt process, and that the associated Hunt process can be approximated by a sequence of multivariate Poisson processes. This also gives a new proof for the existence of a Hunt process associated to a strictly quasi-regular generalized Dirichlet form that satisfies SD3 and extends all previous results.

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Cited by in corpus (2)

• Conservativeness criteria for generalized Dirichlet forms
• Uniqueness in law for singular degenerate SDEs with respect to a (sub-)invariant measure