论文标题
开尔文 - 维格特抑制波方程的衰减率II:几何控制条件
Decays rates for Kelvin-Voigt damped wave equations II: the geometric control condition
论文作者
论文摘要
我们在本文中研究了在几何控制条件下,开尔文 - 维格特衰减的波浪方程。我们证明,当阻尼系数足够光滑($ c^1 $消失得很好)时,我们表明指数衰减是从几何控制条件下遵循的(请参见〜\ cite {buch,te12},了解在抑制功能上的更强假设下的类似结果)。
We study in this article decay rates for Kelvin-Voigt damped wave equations under a geometric control condition. We prove that when the damping coefficient is sufficiently smooth ($C^1$ vanishing nicely) we show that exponential decay follows from geometric control conditions (see~\cite{BuCh, Te12} for similar results under stronger assumptions on the damping function).