13 citations · 27 across the 9 of their papers we have counts for
11 papers · 1 filter
Invariant measures for the nonlinear stochastic heat equation with no drift term
Le Chen, Nicholas Eisenberg
This paper deals with the long term behavior of the solution to the nonlinear stochastic heat equation , where is assumed…
Interpolating the Stochastic Heat and Wave Equations with Time-independent Noise: Solvability and Exact Asymptotics
Le Chen, Nicholas Eisenberg
In this article, we study a class of stochastic partial differential equations with fractional differential operators subject to some time-independent multiplicative Gaussian noise…
Hölder regularity of the nonlinear stochastic time-fractional slow and fast diffusion equations on
Le Chen, Guannan Hu
In this paper, we use local fraction derivative to show the Hölder continuity of the solution to the following nonlinear time-fractional slow and fast diffusion equation: $$\left(\…
Central limit theorems for spatial averages of the stochastic heat equation via Malliavin-Stein's method
Le Chen, Davar Khoshnevisan, David Nualart +1
Suppose that is the solution to a -dimensional stochastic heat equation driven by a Gaussian noise that is white in time and has a spat…
Stochastic comparisons for stochastic heat equation
Le Chen, Kunwoo Kim
We establish the stochastic comparison principles, including moment comparison principle as a special case, for solutions to the following nonlinear stochastic heat equation on $\m…
Spatial ergodicity for SPDEs via a Poincaré-type inequality
Le Chen, Davar Khoshnevisan, Fei Pu
Consider a parabolic stochastic PDE of the form , where for and , is Lipschit…