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

页码：197 / 210

页数：14

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