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arXiv · 2602.23454

Weak mean random attractors for non-local random and stochastic reaction-diffusion equations

Rubén Caballero·Pedro Marín-Rubio·José Valero
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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.

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Rubén Caballero, Pedro Marín-Rubio, José Valero. 2026-02-26. Weak mean random attractors for non-local random and stochastic reaction-diffusion equations. https://arxiv.org/abs/2602.23454

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