On reflected Dirichlet spaces

Zhen Qing Chen

doi:10.1007/BF01192442

On reflected Dirichlet spaces

Zhen Qing Chen^*

^*Corresponding author for this work

Wsshington University

Research output: Contribution to journal › Article › peer-review

36 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	135-162
Number of pages	28
Journal	Probability Theory and Related Fields
Volume	94
Issue number	2
DOIs	https://doi.org/10.1007/BF01192442
Publication status	Published - Jun 1992
Externally published	Yes

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Chen, Z. Q. (1992). On reflected Dirichlet spaces. Probability Theory and Related Fields, 94(2), 135-162. https://doi.org/10.1007/BF01192442

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abstract = "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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AB - 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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On reflected Dirichlet spaces

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