Asymptotic behaviour for wave equation with time-dependent coefficients

被引：8

作者：

Matsuyama, Tokio ^{[1
]}

机构：

[1] Tokai Univ, Dept Math, Hiratsuka, Kanagawa 2591292, Japan

来源：

Annali dell'Universita di Ferrara Sezione VII, Scienze Matematiche, Vol 52, No 2 | 2006年 / 52卷 / 02期

关键词：

wave equation; asymptotic profiles; asymptotic integrations;

D O I：

10.1007/s11565-006-0028-z

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

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：11

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