77 citations · 160 across the 36 of their papers we have counts for
6 papers · 2 filters
Dissipation and high disorder
Le Chen, Michael Cranston, Davar Khoshnevisan +1
Given a field of independent standard Brownian motions, indexed by , the generator of a suitable Markov process on $\mathbf{Z}^d,\,\,\ma…
Decorrelation of total mass via energy
Le Chen, Davar Khoshnevisan, Kunwoo Kim
The main result of this small note is a quantified version of the assertion that if u and v solve two nonlinear stochastic heat equations, and if the mutual energy between the init…
Nonlinear stochastic time-fractional diffusion equations on : moments, Hölder regularity and intermittency
Le Chen
We study the nonlinear stochastic time-fractional diffusion equations in the spatial domain , driven by multiplicative space-time white noise. The fractional index …
On comparison principle and strict positivity of solutions to the nonlinear stochastic fractional heat equations
Le Chen, Kunwoo Kim
In this paper, we prove a sample-path comparison principle for the nonlinear stochastic fractional heat equation on with measure-valued initial data. We give quantitat…
Moments, Intermittency and Growth Indices for the Nonlinear Fractional Stochastic Heat Equation
Le Chen, Robert C. Dalang
We study the nonlinear fractional stochastic heat equation in the spatial domain driven by space-time white noise. The initial condition is taken to be a measure on $\…
Moment bounds in spde's with application to the stochastic wave equation
Le Chen, Robert C. Dalang
We exhibit a class of properties of an spde that guarantees existence, uniqueness and bounds on moments of the solution. These moment bounds are expressed in terms of quantities re…