论文标题
在2D中的障碍物散射和波动方程的局部能量衰减中的分解估计值
Resolvent estimates in strips for obstacle scattering in 2D and local energy decay for the wave equation
论文作者
论文摘要
在本说明中，我们对j严格凸出障碍的散射问题感兴趣，该障碍满足了尺寸2中的无折叠条件。我们使用作者上一篇文章的结果来获得在实际轴以下的多项式分辨率估计中。我们推断出O（| $λ$ | log | log | $λ$ |）的估计值，以在真实线上的截断分解，并为波方程的局部能量衰减提供了应用。
In this note, we are interested in the problem of scattering by J strictly convex obstacles satisfying a no-eclipse condition in dimension 2. We use the result of a previous article of the author to obtain polynomial resolvent estimates in strips below the real axis. We deduce estimates in O(|$λ$| log |$λ$|) for the truncated resolvent on the real line and give an application to the decay of the local energy for the wave equation.
