4 citations · 8 across the 7 of their papers we have counts for
7 papers
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…
Superlinear stochastic heat equation on
Le Chen, Jingyu Huang
In this paper, we study the stochastic heat equation (SHE) on subject to a centered Gaussian noise that is white in time and colored in space. We establish the exist…
Parabolic Anderson model with rough dependence in space
Yaozhong Hu, Jingyu Huang, Khoa Lê +2
This paper studies the one-dimensional parabolic Anderson model driven by a Gaussian noise which is white in time and has the covariance of a fractional Brownian motion with Hurst…
On stochastic heat equation with measure initial data
Jingyu Huang
The aim of this short note is to obtain the existence, uniqueness and moment upper bounds of the solution to a stochastic heat equation with measure initial data, without using the…
Delocalization of a -dimensional stochastic wave equation
Jingyu Huang, Davar Khoshnevisan
A noteworthy property of many parabolic stochastic PDEs is that they locally linearize (Foondun, Khoshnevisan and Mahboubi (2015), Hairer (2013, 2014), Hairer and Pardoux (2015), K…
Comparison principle for stochastic heat equation on
Le Chen, Jingyu Huang
We establish the strong comparison principle and strict positivity of solutions to the following nonlinear stochastic heat equation on \[ \left(\frac{\partial }{\par…