Global Existence and Blowing Up of Solutions for Some Non-linear Wave Equations

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• 作者：Wei Xiao
• 关键词：Global solutions ; Blow up ; Nehari manifold ; Mountain pass level
• 刊名：Bulletin of the Malaysian Mathematical Sciences Society
• 出版年：2017
• 出版时间：January 2017
• 年：2017
• 卷：40
• 期：1
• 页码：117-133
• 全文大小：
• 刊物类别：Mathematics, general; Applications of Mathematics;
• 刊物主题：Mathematics, general; Applications of Mathematics;
• 出版者：Springer Singapore
• ISSN：2180-4206
• 卷排序：40

文摘

In this paper, an initial boundary value problem for a system of semi-linear hyperbolic equations with damped term in a bounded domain is considered. We prove the global existence, uniquenes, blow up of solutions and give some estimates for the lifespan of solutions.