English

Backward stochastic differential equations with Young drift

Probability 2016-10-13 v1

Abstract

We prove via a direct fixpoint argument the well-posedness of backward stochastic differential equations containing an additional drift driven by a path of finite pp-variation with p[1,2)p \in [1,2). An application to the Feynman-Kac representation of semilinear rough partial differential equations is given.

Cite

@article{arxiv.1610.03719,
  title  = {Backward stochastic differential equations with Young drift},
  author = {Joscha Diehl and Jianfeng Zhang},
  journal= {arXiv preprint arXiv:1610.03719},
  year   = {2016}
}
R2 v1 2026-06-22T16:18:46.102Z