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 Electronic Communications in Probability > Vol. 11 (2006) > Paper 18 open journal systems 


Pathwise uniqueness for reflecting Brownian motion in certain planar Lipschitz domains

Richard F. Bass, University of Connecticut
Krzysztof Burdzy, University of Washington


Abstract
We give a simple proof that in a Lipschitz domain in two dimensions with Lipschitz constant one, there is pathwise uniqueness for the Skorokhod equation governing reflecting Brownian motion.


Full text: PDF

Pages: 178-181

Published on: August 30, 2006


Bibliography
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  2. R. Bass, K. Burdzy and Z. Chen. Uniqueness for reflecting Brownian motion in lip domains Ann. I. H. Poincar'e 41 (2005) 197-235. Math. Review 2005k:60174
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  5. D. Revuz and M. Yor, Continuous Martingales and Brownian Motion, 3rd ed. Springer, Berlin, 1999. Math. Review 2000h:60050
















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Electronic Communications in Probability. ISSN: 1083-589X