  This work contributes a systematic survey and complementary insights of
reflecting Brownian motion and its properties. Extension of the Skorohod
problem's solution to more general cases is investigated, based on which a
discussion is further conducted on the existence of solutions for a few
particular kinds of stochastic differential equations with a reflected
boundary. It is proved that the multidimensional version of the Skorohod
equation can be solved under the assumption of a convex domain (D).
