Asymptotic behaviour for wave equation with time-dependent coefficients

被引：0

作者：

Tokio Matsuyama

机构：

[1] Department of Mathematics,

[2] Tokai University,undefined

[3] 1117 Kitakaname,undefined

[4] Hiratsuka,undefined

[5] Kanagawa 259-1292,undefined

来源：

ANNALI DELL'UNIVERSITA' DI FERRARA | 2006年 / 52卷

关键词：

Asymptotic Behaviour; Wave Equation; Hyperbolic Equation; Free Wave; Linear Wave Equation;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We shall find asymptotic profiles for strictly hyperbolic equations with time-dependent coefficients which are of Lipschitz class and have some stability condition. More precisely, it will be shown that there exists a solution which is not asymptotically free provided that the coefficient tends slowly to some constant.

引用

页码：383 / 393

页数：10

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