Polynomial decay for the energy with an acoustic boundary condition. (English) Zbl 1043.35036
Summary: We establish the polynomial decay for the energy of a wave motion in a bounded domain \(\Omega \subset \mathbb R^3\) with a smooth boundary \(\partial \Omega = \Gamma\), on a part \(\Gamma_0\) of which an acoustic boundary condition in subjected. The multiplicative techniques and energy method are used.
MSC:
| 35B40 | Asymptotic behavior of solutions to PDEs |
| 76Q05 | Hydro- and aero-acoustics |
| 35L05 | Wave equation |
| 35L20 | Initial-boundary value problems for second-order hyperbolic equations |
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