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

作     者：Komech, Alexander I. Komech, Andrew A. 

作者机构：Univ Vienna Fac Math A-1090 Vienna Austria Texas A&M Univ Dept Math College Stn TX USA 

出 版 物：《COMPTES RENDUS MATHEMATIQUE》 (C. R. Math.)

年 卷 期：2006年第343卷第2期

页      面：111-114页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：Max-Planck Institute for Mathematics in the Sciences Wolfgang Pauli Institute National Science Foundation, NSF, (DMS-0434698) Deutsche Forschungsgemeinschaft, DFG, (436 RUS 113/615/0-1) 

主　　题：ASYMPTOTES MATHEMATICAL models KLEIN-Gordon equation EIGENFUNCTIONS BOUNDARY value problems -- Numerical solutions 

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).