In this work we consider a semilinear plate equation with non-constant material density in the context of energy damping models. Existence and uniqueness of regular and generalized solutions are established. The energy associated to this equation is shown to posses a compressed polynomial decay range.

中文翻译：

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一类能量阻尼板模型的多项式压缩稳定性

在这项工作中，我们在能量阻尼模型的背景下考虑具有非恒定材料密度的半线性板方程。建立了正则解和广义解的存在性和唯一性。与该方程相关的能量显示出具有压缩的多项式衰减范围。