Asymptotic Behavior of Nonlocal Semilinear Degenerate Heat Equations With Degenerate Memory
In this article, we study the asymptotic behavior of a nonlocal semilinear degenerate heat equation with degenerate past history in a bounded domain. We approximate the degenerate heat equation obtained after the Dafermos transformation with a non-degenerate equation to obtain the existence, uniqueness, and regularity of the solutions of the equation. Then, we obtain the existence of the global attractor of the original equation.
Authors
- Fengling Wang (ORCID: https://orcid.org/0000-0002-8168-3418)
- Yangrong Li (ORCID: https://orcid.org/0000-0003-3186-3477)
- Tomás Caraballo (ORCID: https://orcid.org/0000-0003-4697-898X)
Institutions
- Southwest University (CN)
- Wenzhou University (CN)
- Institute of Applied Physics and Computational Mathematics (CN)
- Universidad de Sevilla (ES)
Publication Details
- Journal
- Asymptotic Analysis
- Published
- 2025-02-04
- DOI
- https://doi.org/10.1177/09217134241308421
- Citations
- 1
- Primary Topic
- Stability and Controllability of Differential Equations
- Type
- article
- Field-Weighted Citation Impact
- 1.21