5 papers
A Khintchine type inequality for non-independent random variables
Jingyu Huang, Wenxuan Tao
In this short note we give a Khintchine-type inequality involving non-independentrandom variables. The basic setting is inspired by Breuer-Major theorem and the proof is based on a…
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…
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…
Global solution for superlinear stochastic heat equation on under Osgood-type conditions
Le Chen, Mohammud Foondun, Jingyu Huang +1
We study the \textit{stochastic heat equation} (SHE) on subject to a centered Gaussian noise that is white in time and colored in space.The drift term is assumed to satisfy…
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.