ORBITAL INSTABILITY OF STANDING WAVES FOR THE COUPLED NONLINEAR KLEIN-GORDON EQUATIONS

• 来源期刊: 偏微分方程（英文版）
• 学科: 数学
• 关键词: Orbital instability standing wave coupled Klein-Gordon equations invariant set
• 年，卷（期）: 2008,（4）
• 页码范围: 303-314
• 页数: 12页
• 分类号: O175.29
• 语种: 英文

摘要

This paper deals with a type of standing waves for the coupled nonlin-ear Klein-Gordon equations in three space dimensions. First we construct a suitable constrained variational problem and obtain the existence of the standing waves with ground state by using variational argument. Then we prove the orbital instability of the standing waves by defining invariant sets and applying some priori estimates.