具有局部非线性阻尼的二维阻尼wave equations的弱输入状态估计
Weak Input to state estimates for 2D damped wave equations with localized and non-linear damping
摘要：
本文研究了二维有界区域上具有Dirichlet边界条件的阻尼波动方程的输入-状态（ISS）问题。阻尼项被假定为非线性的，并局部化到域的开子集。在第一步中，我们处理的不受干扰的情况下，作为以前的工作，其中稳定性的结果与阻尼项活跃的全域。然后，我们解决的情况下，干扰，并提供输入到状态类型的结果。
英文摘要：
In this paper, we study input-to-state (ISS) issues for damped wave equations with Dirichlet boundary conditions on a bounded domain of dimension two. The damping term is assumed to be non-linear and localized to an open subset of the domain. In a first step, we handle the undisturbed case as an extension of a previous work, where stability results are given with a damping term active on the full domain. Then, we address the case with disturbances and provide input-to-state types of results.
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