标题:
动力边界条件的阻尼波动方程解的爆破性和渐近性Blow-Up and Asymptotic Behavior of Global Solution of Damped Wave Equation with Dynamic Boundary Conditions
作者:
靳妞, 张宏伟, 呼青英
关键字:
波动方程, 动力边界条件, 凸性引理, 解的爆破, 衰减估计Wave Equation; Dynamic Boundary Condition; Convexity Lemma; Blow-Up of Solution; Energy Decay
期刊名称:
《Pure Mathematics》, Vol.2 No.3, 2012-07-27
摘要:
本文讨论动力边界条件的阻尼波动方程解的爆破性和渐近性。利用凸性分析和不稳定集，分别给出了初始能量为负和正时，解爆破的充分条件；借助Nakao不等式和位势井理论得到了解的衰减估计。
In this paper, the blow-up and asymptotic behavior of global solution of damped wave equation with dynamic boundary condition are discussed. By the convexity lemma and unstable set, the sufficient con- dition of the solution of the wave equation with negative and positive initial energy respectively are obtained. With the help of Nakao and stable set, the energy decay of the solution is given.