Local energy decay of solutions to the wave equation for nontrapping metrics
Local energy decay of solutions to the wave equation for nontrapping metrics
复制标题
非陷阱度量波动方程解的局部能量衰减
DOI：
10.1007/bf02385487
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发表时间：
2004
期刊：
影响因子：
--
通讯作者：
G. Vodev
中科院分区：
文献类型：
--
作者：
G. Vodev
证明了无界黎曼流形上具有非捕获度量的波动方程解的一致局部能量衰减估计。这些估计是从高频下的预解式的性质得到的。应用到一类渐近欧氏流形以及扰动的非负长程电位。
We prove uniform local energy decay estimates of solutions to the wave equation on unbounded Riemannian manifolds with nontrapping metrics. These estimates are derived from the properties of the resolvent at high frequency. Applications to a class of asymptotically Euclidean manifolds as well as to perturbations by non-negative long-range potentials are given.