Weak Mean Random Attractors for a Class of Degenerate Nonlocal Parabolic Equations
ABSTRACT This paper is concerned with the well‐posedness and existence of weak pullback mean random attractors for a class of reaction–diffusion equations with nonlocal coefficient and nonlinear multiplicative noise. In our problem, the coefficient can be degenerate, and the nonlinearity is not locally Lipschitz on the phase space.
Authors
- Zhijun Tang (ORCID: https://orcid.org/0009-0005-7666-2216)
- Tomás Caraballo (ORCID: https://orcid.org/0000-0003-4697-898X)
- Chengkui Zhong
Institutions
- Universidad de Sevilla (ES)
- Nanjing University (CN)
Publication Details
- Journal
- Mathematical Methods in the Applied Sciences
- Published
- 2025-11-05
- DOI
- https://doi.org/10.1002/mma.70301
- Primary Topic
- Stability and Controllability of Differential Equations
- Type
- article
- Field-Weighted Citation Impact
- 0.00