English

Existence and uniqueness of solutions for multi-dimensional reflected BSDEs with diagonally quadratic generators

Probability 2021-11-16 v1

Abstract

In this paper, we study multi-dimensional reflected backward stochastic differential equations with diagonally quadratic generators. Using the comparison theorem for diagonally quadratic BSDEs which is established recently in [14], we obtain the existence and uniqueness of a solution by a penalization method. Moreover, we provide a comparison theorem.

Keywords

Cite

@article{arxiv.2111.07245,
  title  = {Existence and uniqueness of solutions for multi-dimensional reflected BSDEs with diagonally quadratic generators},
  author = {Yuyang Chen and Peng Luo},
  journal= {arXiv preprint arXiv:2111.07245},
  year   = {2021}
}