29 citations · 77 across the 22 of their papers we have counts for
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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…
Large time asymptotics for the parabolic Anderson model driven by space and time correlated noise
Jingyu Huang, Khoa Lê, David Nualart
We consider the linear stochastic heat equation on , driven by a Gaussian noise which is colored in time and space. The spatial covariance satisfies general assump…