Reflecting Brownian motions and a deletion result for Sobolev spaces of order (1, 2)

Potential Analysis

Volumn 5, Issue 4, 1996, Pages 383-401

  Chen, Zhen Qing ^a  

^a Department of Molecular Biology and Genetics   (United States)

Author keywords

Boundary local time; Dirichlet space; Reflecting Brownian motion; Skorokhod decomposition; Sobolev space

Indexed keywords

EID: 21344453017     PISSN: 09262601     EISSN: None     Source Type: Journal    
DOI: 10.1007/bf00275474     Document Type: Article

References (6)

1. R. A. Adams: Sobolev Spaces, Academic Press, New York, 1975.
2. K. Burdzy: Three-dimensional Brownian path reflected on Brownian path is a free Brownian path, Letters in Mathematical Physics 27 (1993), 239-244.
3. Z. Q. Chen: On reflecting diffusion processes and Skorokhod decompositions, Probab. Theor. Rel. Fields 94 (1993), 281-316.
4. Z. Q. Chen: On Reflecting Diffusion Processes. Washington University, Ph.D. thesis, 1992.
5. Z. Q. Chen: P. J. Fitzsimmons, and R. J. Williams, Reflecting Brownian motions: quasimartingales and strong Caccioppoli sets, Potential Analysis 2 (1993), 219-243.
6. G. Courtois: Spectrum of manifolds with holes. Preprint, 1992.