Optimal decay rates for the system of elastic waves in Rn with structural damping

被引：10
|
作者：
Ikehata, Ryo [1 ]
Charao, Ruy Coimbra [2 ]
da Luz, Cleverson Roberto [2 ]
机构：
[1] Hiroshima Univ, Grad Sch Educ, Dept Math, Higashihiroshima 7398524, Japan
[2] Univ Fed Santa Catarina, Dept Math, Florianopolis, SC, Brazil
来源：
JOURNAL OF EVOLUTION EQUATIONS | 2014年 / 14卷 / 01期
关键词：
Structural damping; elastic wave equation; Fourier analysis; energy method; low frequency; high frequency; optimal decay; BOUNDARY-VALUE-PROBLEM; ENERGY DECAY; EQUATIONS;
D O I：
10.1007/s00028-014-0216-8
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider the Cauchy problem in R (n) for the system of elastic waves with structural damping. We derive (almost) optimal decay rates in time for the L (2)-norm and the total energy which improves previous results for this system. To derive the estimates for elastic waves, we employ an improvement in a method in the Fourier space, which was developed in our previous works. Our estimates came from those for a generalized energy of alpha-order in the Fourier space.
引用
收藏
页码：197 / 210
页数：14
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