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.