39 citations · 143 across the 21 of their papers we have counts for
4 papers · 1 filter
Stochastic Lagrangian Flows for SDEs with rough coefficients
Guohuan Zhao
We prove the existence and uniqueness of Stochastic Lagrangian Flows and almost everywhere Stochastic Flows for non-degenearted SDEs with rough coefficients. As an application of o…
-theory of stochastic differential equations
Pengcheng Xia, Longjie Xie, Xicheng Zhang +1
In this paper we show the weak differentiability of the unique strong solution with respect to the starting point as well as Bismut-Elworthy-Li's derivative formula for the fol…
Nonlocal elliptic equation in Hölder space and the martingale problem
Chengcheng Ling, Guohuan Zhao
The well-posedness of nonlocal elliptic equation with singular drift is investigated in Besov-Hölder spaces. As an application, we show the existence and uniqueness for correspondi…
Stochastic Lagrangian path for Leray solutions of 3D Navier-Stokes equations
Xicheng Zhang, Guohuan Zhao
In this paper we show the existence of stochastic Lagrangian particle trajectory for Leray's solution of 3D Navier-Stokes equations. More precisely, for any Leray's solution ${\mat…