Acoustic wave motions stabilized by boundary memory damping II. Polynomial stability

作者：Jiao, Zhe^*; Xu, Yong

来源：Applied Mathematics Letters, 2018, 85: 35-40.

DOI：10.1016/j.aml.2018.05.011

• Wave equation
• Acoustic boundary conditions
• Boundary memory damping
• Polynomial decay rates

A linear wave equation with acoustic boundary conditions (ABC) on a portion of the 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.

• 出版日期2018-11
• 单位西北工业大学