English

On differentiability of stochastic flow for a multidimensional SDE with discontinuous drift

Probability 2016-05-24 v3

Abstract

We consider a dd-dimensional SDE with an identity diffusion matrix and a drift vector being a vector function of bounded variation. We give a representation for the derivative of the solution with respect to the initial data.

Keywords

Cite

@article{arxiv.1306.4816,
  title  = {On differentiability of stochastic flow for a multidimensional SDE with discontinuous drift},
  author = {Olga Aryasova and Andrey Pilipenko},
  journal= {arXiv preprint arXiv:1306.4816},
  year   = {2016}
}

Comments

15 pages

R2 v1 2026-06-22T00:37:24.991Z