English

Reflected backward stochastic differential equations with two optional barriers

Probability 2019-10-10 v1

Abstract

We consider reflected backward stochastic differential equations with two general optional barriers. The solutions to these equations have the so-called regulated trajectories, i.e trajectories with left and right finite limits. We prove the existence and uniqueness of Lp\mathbb L^p solutions, p1p\geq 1, and show that the solutions may be approximated by a modified penalization method.

Keywords

Cite

@article{arxiv.1810.07969,
  title  = {Reflected backward stochastic differential equations with two optional barriers},
  author = {Tomasz Klimsiak and Maurycy Rzymowski and Leszek Słomiński},
  journal= {arXiv preprint arXiv:1810.07969},
  year   = {2019}
}
R2 v1 2026-06-23T04:44:20.067Z