English

Penalization method for reflected BDSDEs with two-sided jumps and driven by L\'evy process

Probability 2021-07-13 v1

Abstract

In this paper, we prove the existence and uniqueness of the solution to reflected backward doubly stochastic differential equations driven by Teugels martingales associated with a L\'evy process where the barrier process is not necessarily right continuous by approximating such equations by a new version of penalization method.

Keywords

Cite

@article{arxiv.2107.05100,
  title  = {Penalization method for reflected BDSDEs with two-sided jumps and driven by L\'evy process},
  author = {Mohamed Marzougue},
  journal= {arXiv preprint arXiv:2107.05100},
  year   = {2021}
}

Comments

14 pages

R2 v1 2026-06-24T04:05:02.623Z