30 citations · 52 across the 3 of their papers we have counts for
3 papers
math.PR2025★ 30 cited
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 v…
math.DS2025★ 22 cited
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.AP2023
Convergence of solutions for a reaction-diffusion problem with fractional Laplacian
Jiaouhui Xu, Tomás Caraballo, José Valero
A kind of nonlocal reaction-diffusion equations on an unbounded domain containing fractional Laplacian operator is analyzed. To be precise, we prove the convergence of solutions of…