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arxiv: math/0510473 · v1 · submitted 2005-10-21 · 🧮 math.PR

Pathwise uniqueness for two dimensional reflecting Brownian motion in Lipschitz domains

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keywords lipschitzbrownianmotionpathwisereflectinguniquenessconstantdimensional
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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.

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