On pathwise uniqueness for reflecting Brownian motion in $C^{1+γ}$ domains

Mathematics – Probability

Scientific paper

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Published in at http://dx.doi.org/10.1214/08-AOP390 the Annals of Probability (http://www.imstat.org/aop/) by the Institute of

Scientific paper

10.1214/08-AOP390

Pathwise uniqueness holds for the Skorokhod stochastic differential equation
in $C^{1+\gamma}$ domains in $\mathbb{R}^d$ for $\gamma >1/2$ and $d\geq3$.

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