4 papers
math.PR2021
Hölder regularity of the nonlinear stochastic time-fractional slow and fast diffusion equations on
Le Chen, Guannan Hu
In this paper, we use local fraction derivative to show the Hölder continuity of the solution to the following nonlinear time-fractional slow and fast diffusion equation: $$\left(\…
nlin.CD2019
Effects of Stochastic Parametrization on Extreme Value Statistics
Guannan Hu, Tamás Bódai, Valerio Lucarini
Extreme geophysical events are of crucial relevance to our daily life: they threaten human lives and cause property damage. To assess the risk and reduce losses, we need to model a…
math.PR2016
Some stochastic time-fractional diffusion equations with variable coefficients and time dependent noise
Guannan Hu
We prove the existence and uniqueness of mild solution for the stochastic partial differential equation …
math.PR2015
Fractional diffusion in Gaussian noisy environment
Guannan Hu, Yaozhong Hu
We study the fractional diffusion in a Gaussian noisy environment as described by the fractional order stochastic partial equations of the following form: $D_t^αu(t, x)=\textit{B}u…