arXiv Analytics

Sign in

arXiv:1912.12457 [math.PR]AbstractReferencesReviewsResources

On mutual behavior of solutions of an SDE with non-regular drift

Olga Aryasova, Andrey Pilipenko

Published 2019-12-28Version 1

We consider a multidimensional stochastic differential equation with a Gaussian noise and a drift vector having a jump discontinuity along a hyperplane. The large time behavior of the distance between two solutions starting from different points is studied.We consider a multidimensional stochastic differential equation with a Gaussian noise and a drift vector having a jump discontinuity along a hyperplane. The large time behavior of the distance between two solutions starting from different points is studied.

Related articles: Most relevant | Search more
arXiv:1605.06911 [math.PR] (Published 2016-05-23)
A representation for the derivative with respect to the initial data of the solution of an SDE with a non-regular drift and a Gaussian noise
arXiv:1007.0952 [math.PR] (Published 2010-07-06)
Large time behavior in random multiplicative processes
arXiv:2110.06148 [math.PR] (Published 2021-10-12, updated 2023-09-05)
Optimal rate of convergence for approximations of SPDEs with non-regular drift