English

Derivative Formula for Singular McKean-Vlasov SDEs

Probability 2023-03-10 v5

Abstract

The Bismut formula is established for the intrinsic derivative of singular McKean-Vlasov SDEs, where the noise coefficient belongs to a local Sobolev space, and the drift contains a locally integrable time-space term as well as a time-space-distribution term Lipschitz continuous in the space and distribution variables. The results are new also for classical SDEs.

Keywords

Cite

@article{arxiv.2109.02030,
  title  = {Derivative Formula for Singular McKean-Vlasov SDEs},
  author = {Feng-Yu Wang},
  journal= {arXiv preprint arXiv:2109.02030},
  year   = {2023}
}

Comments

39 pages

R2 v1 2026-06-24T05:41:30.095Z