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arXiv · 2603.01527

On the robustness of pullback attractors for a nonlocal reaction-diffusion equation under perturbation

Rubén Caballero·Pedro Marín-Rubio·José Valero
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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.

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Rubén Caballero, Pedro Marín-Rubio, José Valero. 2026-03-02. On the robustness of pullback attractors for a nonlocal reaction-diffusion equation under perturbation. https://arxiv.org/abs/2603.01527

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