ABSTRACT

In this paper we consider uniform stabilization of the wave equation with variable coefficients in a bounded domain. The nonlinear damping is put partly on the interior of the domain and partly on the acoustic boundary. Under some checkable conditions on the coefficients, the energy decay results are established by Riemannian geometry method.

中文翻译：

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具有非线性阻尼和声学边界的变系数波动方程的均匀稳定

摘要

在本文中，我们考虑在有界域中具有可变系数的波动方程的均匀稳定。非线性阻尼部分位于域内部，部分位于声学边界。在系数可检验的条件下，利用黎曼几何方法建立能量衰减结果。