On the robustness of pullback attractors for a nonlocal reaction-diffusion equation under perturbation
Analysis of PDEs
2026-03-03 v1 Dynamical Systems
Abstract
A parametric family of reaction-diffusion equations with nonlocal viscosity is considered. Existence of solutions and actually of pullback attractors is known from previous works. In this paper we obtain a robustness result of the attractors toward the corresponding minimal pullback attractor of the limiting problem. This result extends the ones obtained in \cite{5}. Actually here all terms (reactions, external forces and nonlocal viscosity functions) may vary with the parameter. The upper semicontinuous convergence of attractors is obtained under rather general assumptions and in a fully non-autonomous context using the framework of tempered universes.
Keywords
Cite
@article{arxiv.2603.01527,
title = {On the robustness of pullback attractors for a nonlocal reaction-diffusion equation under perturbation},
author = {Rubén Caballero and Pedro Marín-Rubio and José Valero},
journal= {arXiv preprint arXiv:2603.01527},
year = {2026}
}