【摘要】 研究如下具阻尼项的 Klein-Gordon方程组utt+ut-Δu +u -|v|ρ+2 |u|ρu =0vtt+vt-Δv +v -|u|ρ+2 |v|ρv =0　　　　具有正初始能量的解的爆破性 .通常的凸分析方法必须要求初始能量 E(0 ) <0才能得到爆破性 ,用完全不同于凸性分析的方法证明了当初始能量为正但有一上界时的爆破性质 .更多还原

【Abstract】 The blow up result of the following nonlinear Klein Gordon systems with positive initial energyu tt +u t -Δu+u-|v| ρ+2 |u| ρu=0 v tt +v t -Δv+v-|u| ρ+2 |v| ρv=0is studied. The usually method of convex analysis requires that the initial energy must be negative value (E(0)<0) , then the blow up result can be obtained. Here the blow up nature is proved that the initial energy is positive value and has a upper bound using the method that is different from the convex analysis.更多还原