48 citations · 250 across the 24 of their papers we have counts for
24 papers
Hyperbolic Anderson model 2: Strichartz estimates and Stratonovich setting
Xia Chen, Aurélien Deya, Jian Song +1
We study a wave equation in dimension with a multiplicative space-time Gaussian noise. The existence and uniqueness of the Stratonovich solution is obtained under so…
Solving the hyperbolic Anderson model 1: Skorohod setting
Xia Chen, Aurélien Deya, Jian Song +1
This paper is concerned with a wave equation in dimension , with a multiplicative space-time Gaussian noise which is fractional in time and homogeneous in space. W…
Exact asymptotics of the stochastic wave equation with time-independent noise
Raluca M. Balan, Le Chen, Xia Chen
In this article, we study the stochastic wave equation in all dimensions , driven by a Gaussian noise which does not depend on time. We assume that either the no…
Moment estimates for some renormalized parabolic Anderson models
Xia Chen, Aurélien Deya, Cheng Ouyang +1
The theory of regularity structures enables the definition of the following parabolic Anderson model in a very rough environment: $\partial_{t} u_{t}(x) = \frac12 Δu_{t}(x) + u_{t}…
Quenched asymptotics for a 1-d stochastic heat equation driven by a rough spatial noise
Prakash Chakraborty, Xia Chen, Bo Gao +1
In this note we consider the parabolic Anderson model in one dimension with time-independent fractional noise in space. We consider the case and get exist…
Spatial asymptotics for the parabolic Anderson model driven by a Gaussian rough noise
Xia Chen, Yaozhong Hu, David Nualart +1
The aim of this paper is to establish the almost sure asymptotic behavior as the space variable becomes large, for the solution to the one spatial dimensional stochastic heat equat…