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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Chen, ZQ. On reflected Dirichlet spaces. Probab. Th. Rel. Fields 94, 135–162 (1992). https://doi.org/10.1007/BF01192442
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DOI: https://doi.org/10.1007/BF01192442