English

Scalar BSDEs of iterated-logarithmically sublinear generators with integrable terminal values

Probability 2023-07-24 v1

Abstract

We establish a general existence and uniqueness of integrable adapted solutions to scalar backward stochastic differential equations with integrable parameters, where the generator gg has an iterated-logarithmic uniform continuity in the second unknown variable zz. The result improves our previous one in \cite{FanHuTang2023SCL}.

Keywords

Cite

@article{arxiv.2307.11300,
  title  = {Scalar BSDEs of iterated-logarithmically sublinear generators with integrable terminal values},
  author = {Shengjun Fan and Ying Hu and Shanjian Tang},
  journal= {arXiv preprint arXiv:2307.11300},
  year   = {2023}
}

Comments

15 pages

R2 v1 2026-06-28T11:36:35.495Z