3 citations · 3 across the 5 of their papers we have counts for
5 papers
Stochastic fractional diffusion equations with spatial Gaussian noise in the Stratonovich regime
Yuhui Guo, Jian Song, Guanyu Wu
For a class of stochastic fractional diffusion equations, we prove the existence of Stratonovich solutions and obtain the precise values of the Lyapunov exponents governing the lar…
Space-time fractional stochastic partial differential equations driven by Lévy white noise
Yuhui Guo, Jiang-Lun Wu
This paper is concerned with the following space-time fractional stochastic nonlinear partial differential equation \begin{equation*} \left(\partial_t^β+\fracν{2}\left(-Δ\right)^{α…
Sample path properties and small ball probabilities for stochastic fractional diffusion equations
Yuhui Guo, Jian Song, Ran Wang +1
We consider the following stochastic space-time fractional diffusion equation with vanishing initial condition:$$ \partial^β u(t, x)=- \left(-Δ\right)^{α/ 2} u(t, x)+ I_{0+}^γ\left…
Stochastic fractional diffusion equations with Gaussian noise rough in space
Yuhui Guo, Jian Song, Xiaoming Song
In this article, we consider the following stochastic fractional diffusion equation \begin{equation*} \left(\partial^β+\dfracν{2}\left(-Δ\right)^{α/ 2}\right) u(t, x)= λ\: I_{0_+}^…
Moments and asymptotics for a class of SPDEs with space-time white noise
Le Chen, Yuhui Guo, Jian Song
In this article, we consider the nonlinear stochastic partial differential equation of fractional order in both space and time variables with constant initial condition: \begin{equ…