Orbitally stable standing-wave solutions to a coupled non-linear Klein-Gordon equation

被引：0
|
作者：
Garrisi, Daniele [1 ]
机构：
[1] Inha Univ, Dept Math Educ, Inchon 402751, South Korea
来源：
NONLINEAR DYNAMICS IN PARTIAL DIFFERENTIAL EQUATIONS | 2015年 / 64卷
关键词：
Orbital stability; standing-waves; Lyapunov function; non-linear Klein-Gordon; CONCENTRATION-COMPACTNESS PRINCIPLE; SOLITARY WAVES; STABILITY THEORY; EXISTENCE; CALCULUS;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We outline some results on the existence of standing-wave solutions to a coupled non-linear Klein-Gordon equation. Standing-waves are obtained as minimizers of the energy under a two-charges constraint. The ground state is stable. The standing-waves are stable provided a non-degeneracy condition is satisfied.
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页码：387 / 398
页数：12
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