ENERGY DECAY FOR ELASTIC WAVE EQUATIONS WITH CRITICAL DAMPING

被引：0

作者：

Horbach, Jaqueline Luiza ^{[1
]}

Nakabayashi, Naoki ^{[2
]}

机构：

[1] Univ Fed Santa Catarina, Dept Math, BR-88040270 Florianopolis, SC, Brazil

[2] Hiroshima Univ, Grad Sch Educ, Dept Math, Higashihiroshima 7398524, Japan

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2014年

关键词：

Elastic wave equation; critical damping; multiplier method; total energy; compactly supported initial data; optimal decay; BOUNDARY-VALUE-PROBLEM; SYSTEM;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We show that the total energy decays at the rate E-u (t) = O(t(-2)), as t -> +infinity, for solutions to the Cauchy problem of a linear system of elastic wave with a variable damping term. It should be mentioned that the the critical decay satis fi es V (x) >= C-0(1 + vertical bar x vertical bar)(-1) for C-0 > 2b, where b represents the speed of propagation of the P-wave.

引用

页数：12

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