On the decay rate of solutions of the wave equation in domains with star-shaped boundaries

被引：0
|
作者：
Filinovskii A.V.
机构：
来源：
Journal of Mathematical Sciences | 2007年 / 143卷 / 4期
基金：
俄罗斯基础研究基金会;
关键词：
Wave Equation; Initial Function; Helmholtz Equation; Unbounded Domain; Weighted Energy;
D O I：
10.1007/s10958-007-0219-x
中图分类号：
学科分类号：
摘要：
One studies the large-time decay rate of the weighted energy of solutions of the first mixed problem for the wave equation in domains with smooth boundaries which are star-shaped with respect to the origin. Estimates are established for solutions of the first boundary-value problem for the Helmholtz equation in the upper half-plane. © Springer Science+Business Media, Inc. 2007.
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页码：3429 / 3440
页数：11
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