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On Skorokhod Problem with Two RCLL Reflecting Completely Separated Barriers

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arxiv 1902.05838 v2 pith:LAWC2UPN submitted 2019-02-15 math.PR

classification math.PR
keywords barriersrcllcompletelyexistenceproblemproveseparatedskorokhod
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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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