On reflected Dirichlet spaces |
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Authors: | Zhen-Qing Chen |
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Affiliation: | (1) Department of Mathematics, Wsshington University, 63130 St. Louis, MO, USA |
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Abstract: | Summary Reflecting diffusion processes on smooth domains in Euclidean space are well understood. Silverstein in [22] and [23] developed two variant procedures for constructing the reflected processes for a general class of symmetric Hunt processes from a Dirichlet space point of view. A direct approach is given in this paper and these two variant procedures are shown to yield the same result. Only the techniques of martingales and ordinary Markov processes are used. |
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