Sisi Liu, Mingli Hong, Lu Yang
Abstract:
In this article, we study the long-time behavior of solutions of the non-autonomous
stochastic reaction-diffusion equations with dynamical boundary conditions.
When the diffusion terms and drift terms are general nonlinear functions,
we prove the existence of the weak pullback mean random attractors for
deterministic equations with random initial data and stochastic equations, respectively.
Submitted February 1, 2026. Published May 7, 2026.
Math Subject Classifications: 37L05, 35B40, 35B41.
Key Words: Nonlinear noise; reaction-diffusion equation; dynamical boundary condition;
weak pullback; mean random attractor.
DOI: 10.58997/ejde.2026.34
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| Sisi Liu School of Mathematics and Statistics Lanzhou University Lanzhou, 730000, China email: liuss0919@163.com |
| Mingli Hong Institute of Disaster Prevention Sanhe, 065201, China email: hongmingli001@163.com |
| Lu Yang School of Mathematics and Statistics Lanzhou University Lanzhou, 730000, China email: yanglu@lzu.edu.cn |
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