Le Chen

activity

20162026

most citedComparison principle for stochastic heat equation on

R^{d}

4 citations · 8 across the 7 of their papers we have counts for

collaborators

8 papers

math.AP2026

Chemotaxis models with signal-dependent sensitivity and a logistic-type source, III: Bifurcation and spike-like solutions

Le Chen, Ian Ruau, Wenxian Shen

This third paper in a series on a parabolic-elliptic chemotaxis model studies bifurcation of positive constant equilibria in one space dimension. We consider $$ \left\{ \begin{arra…

math.PR2026

Two-time spatial decorrelation for the flat KPZ fixed point

Le Chen, Fei Pu

We establish quantitative two-time spatial decorrelation for the Kardar--Parisi--Zhang fixed point with flat initial data. For every $s, t > 0$ ,there exist constants $C, c > 0$ such that…

math.AP2026

Chemotaxis models with signal-dependent sensitivity and a logistic-type source, II: Persistence and stabilization

Le Chen, Ian Ruau, Wenxian Shen

This paper is Part II of a series on boundedness, global existence, and asymptotic behavior of positive classical solutions to the chemotaxis model $$\begin{cases} u_t=Δu-χ_0\nabla…

math.PR2025

A stochastic heat equation with non-locally Lipschitz coefficients

Le Chen, Jingyu Huang, Wenxuan Tao

We consider the stochastic heat equation (SHE) on the torus $T = [0, 1]$ , driven by space-time white noise $W ˙$ , with an initial condition $u_{0}$ that is nonnegative and n…

math.PR2023

Global solution for superlinear stochastic heat equation on $R^{d}$ under Osgood-type conditions

Le Chen, Mohammud Foondun, Jingyu Huang +1

We study the \textit{stochastic heat equation} (SHE) on $R^{d}$ subject to a centered Gaussian noise that is white in time and colored in space.The drift term is assumed to satisfy…

math.PR2019★ 3 cited

Central limit theorems for parabolic stochastic partial differential equations

Le Chen, Davar Khoshnevisan, David Nualart +1

Let ${u (t, x)}_{t \geq 0, x \in R^{d}}$ denote the solution of a $d$ -dimensional nonlinear stochastic heat equation that is driven by a Gaussian noise, white in time with a…

math.PR2019★ 1 cited

Spatial ergodicity for SPDEs via Poincaré-type inequalities

Le Chen, Davar Khoshnevisan, David Nualart +1

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…

math.PR2016★ 4 cited

Comparison principle for stochastic heat equation on $R^{d}$

Le Chen, Jingyu Huang

We establish the strong comparison principle and strict positivity of solutions to the following nonlinear stochastic heat equation on $R^{d}$ \[ \left(\frac{\partial }{\par…