English

Backward doubly stochastic differential equations with weak assumptions on the coefficients

Probability 2011-05-25 v2

Abstract

In this paper, we deal with one dimensional backward doubly stochastic differential equations (BDSDEs) where the coefficient is left Lipschitz in y (may be discontinuous) and uniformly continuous in z. We obtain a generalized comparison theorem and a generalized existence theorem of BDSDEs .

Keywords

Cite

@article{arxiv.1005.5247,
  title  = {Backward doubly stochastic differential equations with weak assumptions on the coefficients},
  author = {Qian Lin},
  journal= {arXiv preprint arXiv:1005.5247},
  year   = {2011}
}

Comments

17 pages

R2 v1 2026-06-21T15:29:03.203Z