2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/103769We 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.Probability60H10Pathwise uniqueness for two dimensional reflecting Brownian motion in Lipschitz domainstext