12 citations · 82 across the 32 of their papers we have counts for
33 papers
Anchored Nash inequalities and heat kernel bounds for a class of random conductance models with long-range jumps
Sebastian Andres, Xin Chen, Martin Slowik +1
We show anchored versions of the Nash inequality for discrete non-local divergence-form operators with degenerate weights. They allow to control the -norm of a function by D…
A note on the equivalence of super-Poincaré inequality
Xin Chen, Qiuchen Yang
In this paper we will study the equivalence between super-Poincaré inequality and some log-Sobolev type inequalities, including weak log-Sobolev inequality and super log-Sobolev in…
Quantitative stochastic homogenization for random conductance models with stable-like jumps
Xin Chen, Zhen-Qing Chen, Takashi Kumagai +1
We consider random conductance models with long range jumps on , where the one-step transition probability from to is proportional to with $α\in…
Two-sided heat kernel estimates for Schrödinger operators with unbounded potentials
Chen Xin, Wang Jian
Consider the Schrödinger operator on , where is a nonnegative and locally bounded potential on so that for all …
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…
Logarithmic heat kernels estimates without curvature restrictions
Xin Chen, Xue Mei Li, Bo Wu
The main results of the article are short time estimates and asymptotic estimates for the first two order derivatives of the logarithmic heat kernel of a complete Riemannian manifo…