%0 Journal Article
%T The Viability Property for Path-dependent SDE under Open Constraints
%A Liangquan Zhang
%J Mathematics
%D 2012
%I arXiv
%X In this note, we study the viability of a bounded open domain in $\mathbb{R}% ^{n}$ for a process driven by a path-dependent stochastic differential equation with Lipschitz data. We extend an invariant result of Cannarsa, Da. Prato and Frankowska [\textit{Indiana Univ. Math. J.} \textbf{59} (2010) 53-78] to a non-Markovian setting.
%U http://arxiv.org/abs/1203.5666v5