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Energy Decaying and Blow-Up of Solution for a Kirchhoff Equation with Strong Damping

一类具强阻尼Kirchhoff方程的能量衰减和解的爆破(英文)
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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. 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.
作者 阳志锋 邱德华
机构地区 Department of Mathematics and Computation Science School of Mathematics and Computational Science
出处 《Journal of Mathematical Research and Exposition》 CSCD 2009年第4期707-715,共9页 数学研究与评论（英文版）
基金 the Natural Science Foundation of Hunan Province (No.05jj40008) the Youth-items Research Fund of Hengyang Normal University (No.08A27)
关键词 strong damping Kirchhoff equation BLOW-UP energy decaying life span. 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
分类号 O175.29 [理学—基础数学]
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参考文献9

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Journal of Mathematical Research and Exposition
2009年 第4期

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