理论数学

Vol.2 No.3 (July 2012)

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 :河南工业大学数学系

张宏伟 , 呼青英

 

关键词:

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

 

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.

文章引用:

靳 妞 , 张宏伟 , 呼青英 (2012) 动力边界条件的阻尼波动方程解的爆破性和渐近性。 理论数学, 2, 144-151. doi: 10.12677/PM.2012.23023

 

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