Weak mean random attractors for non-local random and stochastic reaction-diffusion equations
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arXiv
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| Format: | Preprint |
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2026
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| _version_ | 1866915821158137856 |
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| author | Caballero, Rubén Marín-Rubio, Pedro Valero, José |
| author_facet | Caballero, Rubén Marín-Rubio, Pedro Valero, José |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_23454 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Weak mean random attractors for non-local random and stochastic reaction-diffusion equations Caballero, Rubén Marín-Rubio, Pedro Valero, José Analysis of PDEs Dynamical Systems 35B40, 35B41, 35K55, 35K57, 35K59, 37H05, 37H30, 60H15 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. |
| title | Weak mean random attractors for non-local random and stochastic reaction-diffusion equations |
| topic | Analysis of PDEs Dynamical Systems 35B40, 35B41, 35K55, 35K57, 35K59, 37H05, 37H30, 60H15 |
| url | https://arxiv.org/abs/2602.23454 |