Le Chen

activity

20122026

most citedSpatial ergodicity for SPDEs via a Poincaré-type inequality

13 citations · 28 across the 13 of their papers we have counts for

collaborators

Showing 2019 · math.PRShow all

3 papers · 2 filters

math.PR2019

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…

math.PR2019★ 13 cited

Spatial ergodicity for SPDEs via a Poincaré-type inequality

Le Chen, Davar Khoshnevisan, Fei Pu

Consider a parabolic stochastic PDE of the form $\partial_{t} u = \frac{1}{2} Δ u + σ (u) η$ , where $u = u (t, x)$ for $t \geq 0$ and $x \in R^{d}$ , $σ : R \to R$ is Lipschit…

math.PR2019★ 2 cited

Regularity and strict positivity of densities for the stochastic heat equation on $R^{d}$

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…

Stochastic comparisons for stochastic heat equation

Spatial ergodicity for SPDEs via a Poincaré-type inequality

Regularity and strict positivity of densities for the stochastic heat equation on Rd

Regularity and strict positivity of densities for the stochastic heat equation on $R^{d}$