Stable standing waves for the two-dimensional Klein–Gordon–Schrödinger system
Stable standing waves for the two-dimensional Klein–Gordon–Schrödinger system
复制标题
二维克莱因-戈登-薛定谔系统的稳定驻波
DOI：
10.1017/s0308210509000602
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发表时间：
2010
期刊：
影响因子：
--
通讯作者：
Hiroaki Kikuchi
中科院分区：
文献类型：
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作者：
Hiroaki Kikuchi
摘要本文研究了二维Klein-Gordon-Schrödinger系统驻波的轨道稳定性。证明了当频率足够小时，驻波是稳定的。为了证明这一点，我们得到了基态的唯一性和调查的频谱适当的线性化运营商使用微扰方法开发的Genoud和斯图尔特和林和魏。然后，我们适用于我们的系统的一般理论Grillakis，Shatah和施特劳斯。
Abstract We study the orbital stability of standing waves for the Klein–Gordon–Schrödinger system in two spatial dimensions. It is proved that the standing wave is stable if the frequency is sufficiently small. To prove this, we obtain the uniqueness of ground state and investigate the spectrum of the appropriate linearized operator by using the perturbation method developed by Genoud and Stuart and Lin and Wei. Then we apply to our system the general theory of Grillakis, Shatah and Strauss.