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On Skorokhod Problem with Two RCLL Reflecting Completely Separated Barriers

Probability 2019-04-26 v2

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).

Keywords

Cite

@article{arxiv.1902.05838,
  title  = {On Skorokhod Problem with Two RCLL Reflecting Completely Separated Barriers},
  author = {Rachid Belfadli and Imane Jarni and Youssef Ouknine},
  journal= {arXiv preprint arXiv:1902.05838},
  year   = {2019}
}

Comments

15 pages

R2 v1 2026-06-23T07:42:03.839Z