Concentration of Laplace Eigenfunctions and Stabilization of Weakly Damped Wave Equation
Concentration of Laplace Eigenfunctions and Stabilization of Weakly Damped Wave Equation
复制标题
拉普拉斯本征函数的集中与弱阻尼波动方程的镇定
DOI：
10.1007/s00220-016-2591-1
复制
发表时间：
2015
影响因子：
2.4
通讯作者：
C. Zuily
中科院分区：
文献类型：
--
作者：
N. Burq;C. Zuily
本文证明了紧致流形上的拉普拉斯算子在拟模的L2-范数子流形的小（频率相关）邻域上集中速度的一些普遍界.我们推出了弱阻尼波动方程衰减率的新结果。
In this article, we prove some universal bounds on the speed of concentration on small (frequency-dependent) neighbourhoods of sub-manifolds of L2-norms of quasi modes for Laplace operators on compact manifolds. We deduce new results on the rate of decay of weakly damped wave equations.