Smooth dynamics of a sup-cubic wave equation with delays
We establish the existence of a time-dependent exponential smooth attractor for a weakly damped wave equations with sup-cubic nonlinearity and hereditary effects in a 3D bounded domain. Our methods are mainly based on the recent extension of Strichartz estimates to the case of bounded domains, a more general criterion constructed by the quasi-stable technique and the standard bootstrapping technique.
Authors
- Jia Qi (ORCID: https://orcid.org/0000-0002-9311-5928)
- Feng Zhou (ORCID: https://orcid.org/0000-0003-1897-5677)
- Kaixuan Zhu (ORCID: https://orcid.org/0000-0001-8578-6441)
- Xin Li (ORCID: https://orcid.org/0000-0002-4370-2876)
- Hong-Fang Li (ORCID: https://orcid.org/0000-0002-0560-348X)
Institutions
- Hunan University of Arts and Science (CN)
- Yanshan University (CN)
- China University of Petroleum, East China (CN)
Publication Details
- Journal
- Boundary Value Problems
- Published
- 2025-05-07
- DOI
- https://doi.org/10.1186/s13661-025-01993-0
- Primary Topic
- Stability and Controllability of Differential Equations
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- National Natural Science Foundation of China
- Natural Science Foundation of Hainan Province
- Natural Science Foundation of Shandong Province