论文标题
指数稳定性和耦合波方程系统的确切可控性，仅使用一个非平滑局部抑制作用（通过laplacian）
Exponential Stability and exact controllability of a system of coupled wave equations by second order terms (via Laplacian) with only one non-smooth local damping
论文作者
论文摘要
这项工作的目的是研究二阶耦合波方程的指数稳定性，该方程与一种局部内部粘性阻尼。首先，使用独特的延续定理与卡尔曼估计相结合，我们证明我们的系统非常稳定，没有任何几何条件。其次，使用乘数技术和频域方法的组合，我们表明我们的系统在\ textbf {（pmgc）}下在阻尼区域的条件呈指数稳定，而无需对波传播速度进行任何限制（即两个波方程是否以相同的速度传播）
The purpose of this work is to investigate the exponential stability of a second order coupled wave equations by laplacian with one locally internal viscous damping. Firstly, using a unique continuation theorem combined with a Carleman estimate, we prove that our system is strongly stable without any geometric condition. Secondly, using a combination of the multiplier techniques and the frequency domain approach, we show that our system is exponentially stable under \textbf{(PMGC)} condition on the damping region without any restriction on wave propagation speed (i.e whether the two wave equations propagate at the same speed or not)
