In this article, we consider the transmission wave/plate equation with variable coefficients on $ {\mathbb{R}}^n(n\ge 3) $. By virtue of the Morawetz multipliers in non Euclidean geometries and compactness-uniqueness arguments, we obtain some stability result of the transmission wave/plate system under suitable geometric conditions.

中文翻译：

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$ {\ mathbb {R}} ^ n $上具有可变系数的传输波/板方程的稳定化

在本文中，我们考虑在$ {\ mathbb {R}} ^ n（n \ ge 3）$上具有可变系数的传输波/板方程。借助非欧几里得几何中的Morawetz乘子和紧实唯一性参数，我们获得了在适当几何条件下透射波/板系统的一些稳定性结果。