English

BSDEs with monotone generator and two irregular reflecting barriers

Probability 2018-10-09 v1

Abstract

We consider BSDEs with two reflecting irregular barriers. We give necessary and sufficient conditions for existence and uniqueness of Lp\mathbb{L}^{p} solutions for equations with generators monotone with respect to yy and Lipschitz continuous with respect to zz, and with data in Lp\mathbb{L}^{p} spaces for p1p\ge 1. We also prove that the solutions can be approximated via penalization method.

Keywords

Cite

@article{arxiv.1810.03397,
  title  = {BSDEs with monotone generator and two irregular reflecting barriers},
  author = {Tomasz Klimsiak},
  journal= {arXiv preprint arXiv:1810.03397},
  year   = {2018}
}
R2 v1 2026-06-23T04:31:57.362Z