3 papers
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 , driven by space-time white noise , with an initial condition that is nonnegative and n…
math.AP2024
On the local linearization of the one-dimensional stochastic wave equation with a multiplicative space-time white noise forcing
Jingyu Huang, Tadahiro Oh, Mamoru Okamoto
In this note, we establish a bi-parameter linear localization of the one-dimensional stochastic wave equation with a multiplicative space-time white noise forcing.