papers
Publications (23)
math.PR2016
Comparison principle for stochastic heat equation on $\mathbb{R}^d$
Le Chen, Jingyu Huang
math.PR2016
The third moment for the parabolic Anderson model
Le Chen
math.PR2014
On comparison principle and strict positivity of solutions to the nonlinear stochastic fractional heat equations
Le Chen, Kunwoo Kim
math.PR2016
Parabolic Anderson Model with space-time homogeneous Gaussian noise and rough initial condition
Raluca M. Balan, Le Chen
math.PR2019
Regularity and strict positivity of densities for the stochastic heat equation on $\mathbb{R}^d$
Le Chen, Jingyu Huang
math.PR2015
Nonlinear stochastic heat equation driven by spatially colored noise: moments and intermittency
Le Chen, Kunwoo Kim
math.PR2019
Spatial ergodicity for SPDEs via a Poincaré-type inequality
Le Chen, Davar Khoshnevisan, Fei Pu
math.PR2014
Dissipation and high disorder
Le Chen, Michael Cranston, Davar Khoshnevisan +1
math.PR2014
Moments, Intermittency and Growth Indices for the Nonlinear Fractional Stochastic Heat Equation
Le Chen, Robert C. Dalang
math.PR2017
Dense blowup for parabolic SPDEs
Le Chen, Jingyu Huang, D. Khoshnevisan +1
math.PR2015
A Boundedness Trichotomy for the Stochastic Heat Equation
Le Chen, Davar Khoshnevisan, Kunwoo Kim
math.PR2012
The nonlinear stochastic heat equation with rough initial data:a summary of some new results
Le Chen, Robert C. Dalang
math.PR2019
Spatial ergodicity for SPDEs via Poincaré-type inequalities
Le Chen, Davar Khoshnevisan, David Nualart +1
math.PR2016
Space-time fractional diffusions in Gaussian noisy environment
Le Chen, Guannan Hu, Yaozhong Hu +1
math.PR2015
Two-point correlation function and Feynman-Kac formula for the stochastic heat equation
Le Chen, Yaozhong Hu, David Nualart
math.PR2016
Regularity and strict positivity of densities for the nonlinear stochastic heat equation
Le Chen, Yaozhong Hu, David Nualart
math.PR2015
Moments and growth indices for the nonlinear stochastic heat equation with rough initial conditions
Le Chen, Robert C. Dalang
math.PR2014
Decorrelation of total mass via energy
Le Chen, Davar Khoshnevisan, Kunwoo Kim
math.PR2016
Intermittency for the stochastic heat equation driven by a rough time fractional Gaussian noise
Le Chen, Yaozhong Hu, Kamran Kalbasi +1
math.PR2014
Moment bounds in spde's with application to the stochastic wave equation
Le Chen, Robert C. Dalang
math.PR2014
Nonlinear stochastic time-fractional diffusion equations on $\mathbb{R}$: moments, Hölder regularity and intermittency
Le Chen
math.PR2015
Nonlinear stochastic time-fractional slow and fast diffusion equations on $\mathbb{R}^d$
Le Chen, Yaozhong Hu, David Nualart
math.PR2013
Hölder-continuity for the nonlinear stochastic heat equation with rough initial conditions
Le Chen, Robert C. Dalang