SDEs with random and irregular coefficients
Probability
2021-11-11 v2
Abstract
We consider It\^o uniformly nondegenerate equations with random coefficients. When the coefficients satisfy some low regularity assumptions with respect to the spatial variables and Malliavin differentiability assumptions on the sample points, the unique solvability of singular SDEs is proved by solving backward stochastic Kolmogorov equations and utilizing a modified Zvonkin type transformation.
Keywords
Cite
@article{arxiv.2003.04436,
title = {SDEs with random and irregular coefficients},
author = {Guohuan Zhao},
journal= {arXiv preprint arXiv:2003.04436},
year = {2021}
}