Optimal decay rates for the acoustic wave motions with boundary memory damping
DOI:
https://doi.org/10.24193/subbmath.2020.3.12Keywords:
Wave equation, Acoustic boundary conditions, Boundary memory.Abstract
A linear wave equation with acoustic boundary conditions (ABC) on a portion ofthe boundary and Dirichlet conditions on the rest of the boundary is considered.
The (ABC) contain a memory damping with respect to the normal displacement of the boundary point. In this paper, we establish polynomial energy decay rates for the wave equation by using resolvent estimates.
Downloads
Published
2020-09-17
Issue
Section
Articles
License
This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
Transfer of copyright agreement: When the article is accepted for publication, the authors and the representative of the coauthors, hereby agree to transfer to Studia Universitatis Babeș-Bolyai Mathematica all rights, including those pertaining to electronic forms and transmissions, under existing copyright laws, except for the following, which the authors specifically retain: the authors can use the material however they want as long as it fits the NC ND terms of the license. The authors have all rights for reuse according to the license.
