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一类具强阻尼Kirchhoff方程的能量衰减和解的爆破
引用本文:阳志锋,邱德华.一类具强阻尼Kirchhoff方程的能量衰减和解的爆破[J].数学研究与评论,2009,29(4):707-715.
作者姓名:阳志锋  邱德华
作者单位:衡阳师范学院数学与计算科学系, 湖南 衡阳 421008;广东商学院数学与计算科学学院, 广东 广州 510320
基金项目:湖南省自然科学基金(No.05jj40008); 衡阳师范学院青年项目(No.08A27).
摘    要:The initial boundary value problem for a Kirchhoff equation with Lipschitz type continuous coefficient is studied on bounded domain. Under some conditions, the energy decaying and blow-up of solution are discussed. By refining method, the exponent decay estimates of the energy function and the estimates of the life span of blow-up solutions are given.

关 键 词:Kirchhoff方程  能量衰减  爆破解  强阻尼  衰减估计  初边值问题  基尔霍夫  能量函数
收稿时间:2007/7/19 0:00:00
修稿时间:1/5/2009 12:00:00 AM

Energy Decaying and Blow-Up of Solution for a Kirchhoff Equation with Strong Damping
YANG Zhifeng and QIU Dehua.Energy Decaying and Blow-Up of Solution for a Kirchhoff Equation with Strong Damping[J].Journal of Mathematical Research and Exposition,2009,29(4):707-715.
Authors:YANG Zhifeng and QIU Dehua
Institution:1. Department of Mathematics and Computation Science, Hengyang Normal University,Hunan 421008, China
2. School of Mathematics and Computational Science, Guangdong University of Business Studies,Guangdong 510320, China
Abstract:The initial boundary value problem for a Kirchhoff equation with Lipschitz type continuous coefficient is studied on bounded domain. Under some conditions, the energy decaying and blow-up of solution are discussed. By refining method, the exponent decay estimates of the energy function and the estimates of the life span of blow-up solutions are given.
Keywords:strong damping  Kirchhoff equation  blow-up  energy decaying  life span  
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