摘要
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 。
For the initial boundary value problem u tt -Δu+u-｜v｜ ρ+2 ｜u｜ ρu=0,v tt -Δv+v-｜u｜ ρ+2 ｜v｜ ρv=0 the stable and unstable sets for the initial data is defined by menas of the “potential well”theory. If the initial data belongs to the unstable set, the solution blows up in finite time. If the initial data belongs to stable set, the solution is global.
出处
《纯粹数学与应用数学》
CSCD
2002年第3期207-210,共4页
Pure and Applied Mathematics
基金
国家自然科学基金 (10 0 710 74 )
