3 papers
math.PR2025
Dynamics and large deviations for fractional stochastic partial differential equations with Lévy noise
Jiaohui Xu, Tomás Caraballo, José Valero
This paper is mainly concerned with a kind of fractional stochastic evolution equations driven by Lévy noise in a bounded domain. We first state the well-posedness of the problem…
math.DS2025
Dynamics and Wong-Zakai approximations of stochastic nonlocal PDEs with long time memory
Jiaohui Xu, Tomás Caraballo, José Valero
In this paper, a combination of Galerkin's method and Dafermos' transformation is first used to prove the existence and uniqueness of solutions for a class of stochastic nonlocal P…
math.AP2024
Asymptotic behavior of a semilinear problem in heat conduction with long time memory and non-local diffusion
Jiaohui Xu, Tomás Caraballo, José Valero
In this paper, the asymptotic behavior of a semilinear heat equation with long time memory and non-local diffusion is analyzed in the usual set-up for dynamical systems generated b…