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On reflected Dirichlet spaces
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  • Published: June 1992

On reflected Dirichlet spaces

  • Zhen-Qing Chen1 

Probability Theory and Related Fields volume 94, pages 135–162 (1992)Cite this article

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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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Authors and Affiliations

  1. Department of Mathematics, Wsshington University, 63130, St. Louis, MO, USA

    Zhen-Qing Chen

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  1. Zhen-Qing Chen
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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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  • Received: 27 June 1990

  • Revised: 31 July 1991

  • Issue Date: June 1992

  • DOI: https://doi.org/10.1007/BF01192442

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Keywords

  • Stochastic Process
  • Hunt
  • Probability Theory
  • Diffusion Process
  • Euclidean Space
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