Orbital stability of semitrivial standing waves for the Klein–Gordon–Schrödinger system
Orbital stability of semitrivial standing waves for the Klein–Gordon–Schrödinger system
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克莱因-戈登-薛定谔系统半平凡驻波的轨道稳定性
DOI：
10.1016/j.anihpc.2011.02.003
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发表时间：
2011
影响因子：
1.9
通讯作者：
Hiroaki Kikuchi
中科院分区：
文献类型：
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作者：
Hiroaki Kikuchi
本文研究了Klein-Gordon-Schrödinger系统驻波的轨道稳定性和不稳定性。特别地，我们对由某个标量场方程的唯一正解w1表示的驻波感兴趣。利用正解w1的性质，我们可以应用Grillakis，Shatah和Strauss（1987）[11]的一般理论，并显示驻波的稳定性和不稳定性。
In the present paper, we study the orbital stability and instability of standing waves of the Klein–Gordon–Schrödinger system. Especially, we are interested in a standing wave which is expressed by the unique positive solution w1to a certain scalar field equation. By utilizing the property of the positive solution w1, we can apply the general theory of Grillakis, Shatah and Strauss (1987) [11] and show the stability and instability of the standing wave.