论文标题

非差异形式的退化波方程的线性稳定,漂移

Linear stabilization for a degenerate wave equation in non divergence form with drift

论文作者

Fragnelli, Genni, Mugnai, Dimitri

论文摘要

我们考虑一个在一个维度上的退化波方程,并在不散发形式的领先操作员的情况下进行漂移。我们施加了同质性的dirichlet边界条件,其中发生堕落和在另一个端点处的边界阻尼。我们为相关的库奇问题的溶液统一衰减提供了一些条件。

We consider a degenerate wave equation in one dimension, with drift and in presence of a leading operator which is not in divergence form. We impose a homogeneous Dirichlet boundary condition where the degeneracy occurs and a boundary damping at the other endpoint. We provide some conditions for the uniform exponential decay of solutions for the associated Cauchy problem.

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