Orbital instability of standing waves for the Klein-Gordon-Schrodinger system with quadratic-cubic nonlinearity

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:456

Article

Zhu, Qing¹  Zhou, Zhan¹  Luo, Tingjian¹ 

[1] Guangzhou Univ, Sch Math & Informat Sci, Guangzhou 510006, Guangdong, Peoples R China

关键词: Klein-Gordon-Schrodinger system;    Standing waves;    Orbital instability;    Virial identity;   

DOI  :  10.1016/j.jmaa.2017.07.036

来源: Elsevier

【 摘 要 】

This paper studies the orbital instability of standing waves for the Klein-Gordon-Schrodinger system in three space dimensions. By variational methods we first show the existence of ground states. Then we establish a Virial identity for this system, by which and a Virial theorem, we manage to prove that the standing waves we obtained are orbital instable as if the frequency omega is sufficiently small. Our results improve and complement some previous ones. (C) 2017 Elsevier Inc. All rights reserved.

【 授权许可】

Free