On the global attraction to solitary waves for the Klein-Gordon equation coupled to a nonlinear oscillator

被引：9
|
作者：
Komech, Alexander I.
Komech, Andrew A.
机构：
[1] Univ Vienna, Fac Math, A-1090 Vienna, Austria
[2] Texas A&M Univ, Dept Math, College Stn, TX USA
来源：
COMPTES RENDUS MATHEMATIQUE | 2006年 / 343卷 / 02期
基金：
美国国家科学基金会;
关键词：
D O I：
10.1016/j.crma.2006.06.009
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The long-time asymptotics are analyzed for all finite energy solutions to a model U(1)-invariant nonlinear Klein-Gordon equation in one dimension, with the nonlinearity concentrated at a point. Our main result is that each finite energy solution converges as t -> +/-infinity to the set of 'nonlinear eigenfunctions' psi(x)e(-iwt).
引用
收藏
页码：111 / 114
页数：4
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