Jingyu Huang

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20232026

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math.PR2026

Three-dimensional stochastic wave equation with non-Lipschitz coefficients

Jingyu Huang, Wenxuan Tao

We consider the three-dimensional stochastic wave equation (SWE) driven by a multiplicative Gaussian noise that is white in time and colored in space: \[ \frac{\partial^2 u}{\parti…

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…

Three-dimensional stochastic wave equation with non-Lipschitz coefficients

A stochastic heat equation with non-locally Lipschitz coefficients

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

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