On Asymptotic Stability of Moving Kink for Relativistic Ginzburg-Landau Equation

被引：0
|
作者：
E. A. Kopylova
A. I. Komech
机构：
[1] Institute for Information Transmission Problems RAS,
[2] Fakultät für Mathematik,undefined
[3] Universität Wien,undefined
来源：
Communications in Mathematical Physics | 2011年 / 302卷
关键词：
Soliton; Solitary Wave; Asymptotic Stability; Topological Excitation; Symplectic Orthogonality;
D O I：
暂无
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学科分类号：
摘要：
We prove the asymptotic stability of the moving kinks for the nonlinear relativistic wave equations in one space dimension with a Ginzburg-Landau potential: starting in a small neighborhood of the kink, the solution, asymptotically in time, is the sum of a uniformly moving kink and dispersive part described by the free Klein-Gordon equation. The remainder decays in a global energy norm. Our recent results on the weighted energy decay for the Klein-Gordon equations play a crucial role in the proofs.
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页码：225 / 252
页数：27
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