English

Mean-field BSDEs with non-Lipschitz coefficients and double mean reflections

Probability 2025-10-14 v1

Abstract

The present paper is devoted to the study of mean-field backward stochastic differential equations (MFBSDEs) with double mean reflections whose generators are not Lipschitz continuous. With the help of the Skorokhod problem and some a priori estimates for MFBSDEs, we establish the existence and uniqueness results for doubly mean reflected MFBSDEs.

Keywords

Cite

@article{arxiv.2510.11228,
  title  = {Mean-field BSDEs with non-Lipschitz coefficients and double mean reflections},
  author = {Li Hanwu and Shi Jin},
  journal= {arXiv preprint arXiv:2510.11228},
  year   = {2025}
}