English

Uniqueness of solution to scalar BSDEs with $L\exp{\left(\mu \sqrt{2\log{(1+L)}}\,\right)}$-integrable terminal values

Probability 2018-05-17 v1

Abstract

In [4], the existence of the solution is proved for a scalar linearly growing backward stochastic differential equation (BSDE) if the terminal value is Lexp(μ2log(1+L))L\exp{\left(\mu \sqrt{2\log{(1+L)}}\,\right)}-integrable with the positive parameter μ\mu being bigger than a critical value μ_0\mu\_0. In this note, we give the uniqueness result for the preceding BSDE.

Keywords

Cite

@article{arxiv.1805.06246,
  title  = {Uniqueness of solution to scalar BSDEs with $L\exp{\left(\mu \sqrt{2\log{(1+L)}}\,\right)}$-integrable terminal values},
  author = {Rainer Buckdahn and Ying Hu and Shanjian Tang},
  journal= {arXiv preprint arXiv:1805.06246},
  year   = {2018}
}