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- Title
Polynomial decay of the energy of solutions of coupled wave equations with locally boundary fractional dissipation.
- Authors
Chaili, Amina; Beniani, Abderrahmane; Bchatnia, Ahmed; Alfalqi, Suleman
- Abstract
In this paper, we investigate a system of coupled wave equations featuring boundary fractional damping applied to a portion of the domain. We first establish the well-posedness of the system, proving the existence and uniqueness of solutions through semi-group theory. While the system does not exhibit exponential stability, we demonstrate its strong stability. Furthermore, leveraging Arendt and Batty's general criteria and certain geometric conditions, we prove a polynomial rate of energy decay for the solutions.
- Subjects
WAVE equation; EXPONENTIAL stability; POLYNOMIALS
- Publication
Journal of Inequalities & Applications, 2024, Vol 2024, Issue 1, p1
- ISSN
1025-5834
- Publication type
Article
- DOI
10.1186/s13660-024-03200-7