一类耦合非线性Klein-Gordon方程组解的稳定集和不稳定集Stable and unstable sets for a nonlinear Klein-Gordon equations
张宏伟,呼青英
摘要(Abstract)：
利用势井理论构造方程utt-Δu + u - | v| ρ+2 | u| ρu =0vtt-Δv + v - | u|ρ+2 | v|ρv =0的初边值问题的稳定集和不稳定集 .证明了当初值属于稳定集时 ,整体弱解存在 ,当初值在不稳定集时 ,解将爆破
关键词(KeyWords)： 耦合Klein—Gordon方程组;势井;整体解;爆破
基金项目(Foundation): 国家自然科学基金 (10 0 710 74 )
作者(Author): 张宏伟,呼青英
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