29 citations · 77 across the 22 of their papers we have counts for
4 papers · 2 filters
Large time asymptotics for the parabolic Anderson model driven by spatially correlated noise
Jingyu Huang, Khoa Lê, David Nualart
In this paper we study the linear stochastic heat equation, also known as parabolic Anderson model, in multidimension driven by a Gaussian noise which is white in time and it has a…
Space-time fractional diffusions in Gaussian noisy environment
Le Chen, Guannan Hu, Yaozhong Hu +1
This paper studies the linear stochastic partial differential equation of fractional orders both in time and space variables $\left(\partial^β+ \fracν{2} (-Δ)^{α/2} \right) u(t,x)=…
On the intermittency front of stochastic heat equation driven by colored noises
Yaozhong Hu, Jingyu Huang, David Nualart
We study the propagation of high peaks (intermittency front) of the solution to a stochastic heat equation driven by multiplicative centered Gaussian noise in . The n…
Stochastic heat equation with rough dependence in space
Yaozhong Hu, Jingyu Huang, Khoa Lê +2
This paper studies the nonlinear one-dimensional stochastic heat equation driven by a Gaussian noise which is white in time and which has the covariance of a fractional Brownian mo…