51 citations · 108 across the 23 of their papers we have counts for
8 papers · 1 filter
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…
Exponential attractors with explicit fractal dimensions for retarded functional differential equations
Wenjie Hu, Tomás Caraballo
The aim of this paper is to propose a new method to construct exponential attractors for infinite dimensional dynamical systems in Banach spaces with explicit fractal dimension. Th…
Lyapunov exponents and invariant manifolds for stochastic linear partial functional differential equations
Wenjie Hu, Tomás Caraballo
The main purpose of this work is to characterize the almost sure local structure stability of solutions to a class of linear stochastic partial functional differential equations (S…
Topological dimensions of attractors for partial functional differential equations in Banach spaces
Wenjie Hu, Tomás Caraballo
The main objective of this paper is to obtain estimations of Hausdorff dimension as well as fractal dimension of global attractors and pullback attractors for both autonomous and n…
Topological dimensions of global attractors for a delayed reaction-diffusion equation on an unbounded domain
Wenjie Hu, Tomás Caraballo
The purpose of this paper is to investigate the existence and estimation of Hausdorff and fractal dimension of global attractors for a delayed reaction-diffusion equation on an unb…
Topological dimensions of random attractors for stochastic partial differential equations with delay
Wenjie Hu, Tomás Caraballo
The aim of this paper is to obtain an estimation of Hausdorff as well as fractal dimensions of random attractors for a class of stochastic partial differential equations with delay…
Random attractors for a stochastic nonlocal delayed reaction-diffusion equation on a semi-infinite interval
Wenjie Hu, Quanxin Zhu, Tomás Caraballo
The aim of this paper is to prove the existence and qualitative property of random attractors for a stochastic nonlocal delayed reaction-diffusion equation (SNDRDE) on a semi-infin…
Invariant manifolds for stochastic delayed partial differential equations of parabolic type
Wenjie Hu, Quanxin Zhu, Tomás Caraballo
The aim of this paper is to prove the existence and smoothness of stable and unstable invariant manifolds for a stochastic delayed partial differential equation of parabolic type.…