Weak mean random attractors for non-local random and stochastic reaction-diffusion equations
Analysis of PDEs
2026-03-02 v1 Dynamical Systems
Abstract
In this paper, we prove the existence of weak pullback mean random attractors for a non-local stochastic reaction-diffusion equation with a nonlinear multiplicative noise. Also, we establish the existence and uniqueness of solutions and weak pullback mean random attractors for a deterministic nonlocal reaction-diffusion equations with random initial data.
Keywords
Cite
@article{arxiv.2602.23454,
title = {Weak mean random attractors for non-local random and stochastic reaction-diffusion equations},
author = {Rubén Caballero and Pedro Marín-Rubio and José Valero},
journal= {arXiv preprint arXiv:2602.23454},
year = {2026}
}