2 citations · 2 across the 4 of their papers we have counts for
4 papers
Forward-backward stochastic differential equations on tensor fields and application to Navier-Stokes equations on Riemannian manifolds
Xin Chen, Ana Bela Cruzeiro, Wenjie Ye +1
In this paper we introduce a class of forward-backward stochastic differential equations on tensor fields of Riemannian manifolds, which are related to semi-linear parabolic partia…
Stochastic Differential Equations with Local Growth Singular Drifts
Wenjie Ye
In this paper, we study the weak differentiability of global strong solution of stochastic differential equations, the strong Feller property of the associated diffusion semigroups…
A probabilistic representation for heat flow of harmonic map on manifolds with time-dependent Riemannian metric
Xin Chen, Wenjie Ye
In this paper we will give a probabilistic representation for the heat flow of harmonic map with time-dependent Riemannian metric via a forward-backward stochastic differential equ…
A study of backward stochastic differential equation on a Riemannian manifold
Xin Chen, Wenjie Ye
Suppose is a compact Riemannian manifold, in this paper we will introduce the definition of -valued BSDE and -valued BSDE for which the solution are not…