12 citations · 82 across the 32 of their papers we have counts for
4 papers · 1 filter
A probabilistic method for gradient estimates of some geometric flows
Xin Chen, Li-Juan Cheng, Jing Mao
In general, gradient estimates are very important and necessary for deriving convergence results in different geometric flows, and most of them are obtained by analytic methods. In…
Functional inequalities on path space over a non-compact Riemannian manifold
Xin Chen, Bo Wu
We prove the existence of the O-U Dirichlet form and the damped O-U Dirichlet form on path space over a general non-compact Riemannian manifold which is complete and stochastically…
Navier-Stokes equation and forward-backward stochastic differential system in the Besov spaces
Xin Chen, Ana Bela Cruzeiro, Zhongmin Qian
The Navier-Stokes equation on Rd (d greater or equal to 3) formulated on Besov spaces is considered. Using a stochastic forward-backward differential system, the local existence of…
Perturbations of Functional Inequalities for Lévy Type Dirichlet Forms
Xin Chen, Feng-Yu Wang, Jian Wang
Perturbations of super Poincaré and weak Poincaré inequalities for Lévy type Dirichlet forms are studied. When the range of jumps is finite our results are natural extensions to th…