On Skorokhod Problem with Two RCLL Reflecting Completely Separated Barriers

Published 15 Feb 2019 in math.PR | (1902.05838v2)

Abstract: In this paper we deal with Skorokhod problem for right continuous left limited (rcll) barriers. We prove existence and uniqueness of the solution when the barriers are only supposed to be rcll and completely separated. Then, we apply our results to prove existence and uniqueness of the solution of a reflected stochastic differential equation (SDE).

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