7 citations · 33 across the 9 of their papers we have counts for
9 papers · 1 filter
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…
Regularity and strict positivity of densities for the stochastic heat equation on
Le Chen, Jingyu Huang
In this paper, we study the stochastic heat equation with a general multiplicative Gaussian noise that is white in time and colored in space. Both regularity and strict positivity…
Regularity and strict positivity of densities for the nonlinear stochastic heat equation
Le Chen, Yaozhong Hu, David Nualart
In this paper, we establish a necessary and sufficient condition for the existence and regularity of the density of the solution to a semilinear stochastic (fractional) heat equati…
Comparison principle for stochastic heat equation on
Le Chen, Jingyu Huang
We establish the strong comparison principle and strict positivity of solutions to the following nonlinear stochastic heat equation on \[ \left(\frac{\partial }{\par…
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…