Doubly Feller property of Brownian motions with Robin boundary condition

Published 29 Dec 2018 in math.PR | (1812.11381v2)

Abstract: In this paper, we consider first order Sobolev spaces with Robin boundary condition on unbounded Lipschitz domains. Hunt processes are associated with these spaces. We prove that the semigroup of these processes are doubly Feller. As a corollary, we provide a condition for semigroups generated by these processes being compact.

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Kouhei Matsuura

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