4 citations · 7 across the 5 of their papers we have counts for
5 papers
In search of necessary and sufficient conditions to solve parabolic Anderson model with rough noise
Shuhui Liu, Yaozhong Hu, Xiong Wang
This paper attempts to obtain necessary and sufficient conditions to solve the parabolic Anderson model with fractional Gaussian noises: $\frac{\partial}{\partial t}u(t,x)=\frac{1}…
Nonlinear stochastic wave Equation driven by rough noise
Shuhui Liu, Yaozhong Hu, Xiong Wang
In this paper, we obtain the existence and uniqueness of the strong solution to one spatial dimension stochastic wave equation $\frac{\partial^2 u(t,x)}{\partial t^2}=\frac{\partia…
Mean square stability of stochastic theta method for stochastic differential equations driven by fractional Brownian motion
Min Li, Yaozhong Hu, Chengming Huang +1
In this paper, we study the mean-square stability of the solution and its stochastic theta scheme for the following stochastic differential equations drive by fractional Brownian m…
Intermittency properties for a large class of stochastic PDEs driven by fractional space-time noises
Yaozhong Hu, Xiong Wang
In this paper, we study intermittency properties for various stochastic PDEs with varieties of space time Gaussian noises via matching upper and lower moment bounds of the solution…
Stochastic Heat Equation with general noise
Yaozhong Hu, Xiong Wang
In this paper, we study a nonlinear one spatial dimensional stochastic heat equations driven by Gaussian noise: $\frac{\partial u }{\partial t}=\frac{\partial^2 u }{\partial x^2}+σ…