Asymptotic profiles for the Kirchhoff equation

被引：0
|
作者：
Matsuyama, Tokio [1 ]
机构：
[1] Tokai Univ, Dept Math, Hiratsuka, Kanagawa 2591292, Japan
来源：
RENDICONTI LINCEI-MATEMATICA E APPLICAZIONI | 2006年 / 17卷 / 04期
关键词：
Kirchhoff equation; asymptotic profiles; scattering states;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The first aim of this paper is to find asymptotic profiles for the Kirchhoff equation. More precisely, it will be shown that there exists a small amplitude solution which is not asymptotically free. The second aim is to prove the existence of scattering states for small amplitude solutions with data belonging to H-sigma(p),H- p x H sigma((p)-1, p), where sigma(p) = n(2/p - 1) + 1, p is an element of [1, 2(n - 1)/(n + 1)) and n = 4.
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页码：377 / 395
页数：19
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