Speaker: Tusheng Zhang

Title: Strong existence and uniqueness of solutions of SDEs with time dependent Kato class coefficients

Abstract: Consider stochastic differential equations with singular drifts. In this article we show that if the drift belongs to a Kato class , then there exists a unique strong solution to the  stochastic differential equations. Furthermore, we allow the drift to be time-dependent. The new regularity estimates we established for the solutions of parabolic equations with Kato class coefficients play a crucial role.