Energy Decaying and Blow-Up of Solution for a Kirchhoff Equation with Strong Damping
Received:July 19, 2007  Revised:January 05, 2009
Key Words: strong damping   Kirchhoff equation   blow-up   energy decaying   life span.  
Fund Project:the Natural Science Foundation of Hunan Province (No.05jj40008) and the Youth-items Research Fund of Hengyang Normal University (No.08A27).
Author NameAffiliation
YANG Zhifeng Department of Mathematics and Computation Science, Hengyang Normal University, Hunan 421008, China 
QIU Dehua School of Mathematics and Computational Science, Guangdong University of Business Studies, Guangdong 510320, China 
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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.
Citation:
DOI:10.3770/j.issn:1000-341X.2009.04.017
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