Le Chen

activity

20142023

most citedOn comparison principle and strict positivity of solutions to the nonlinear stochastic fractional heat equations

7 citations · 25 across the 9 of their papers we have counts for

collaborators

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2 papers · 1 filter

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.PR2023★ 1 cited

Parabolic Anderson model with colored noise on torus

Le Chen, Cheng Ouyang, William Vickery

We construct an intrinsic family of Gaussian noises on $d$ -dimensional flat torus $T^{d}$ . It is the analogue of the colored noise on $R^{d}$ , and allows us to study…

Global solution for superlinear stochastic heat equation on Rd under Osgood-type conditions

Parabolic Anderson model with colored noise on torus

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