The initial-boundary value problems for a class of sixth order nonlinear wave equation
The initial-boundary value problems for a class of sixth order nonlinear wave equation
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DOI：
10.3934/dcds.2017244
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发表时间：
2017-07
影响因子：
1.1
通讯作者：
Runzhang Xu;Mingyou Zhang;Shaohua Chen;Yanbing Yang;Ji-hong Shen
中科院分区：
文献类型：
--
作者：
Runzhang Xu;Mingyou Zhang;Shaohua Chen;Yanbing Yang;Ji-hong Shen
本文考虑一类六阶一维非线性波动方程解的初边值问题。我们讨论了整体解的存在和不存在的概率，并在三个不同的初始能量水平，即亚临界水平、临界水平和超临界水平下，给出了整体解和非整体解存在的充分条件。
This paper considers the initial boundary value problem of solutions for a class of sixth order 1-D nonlinear wave equations. We discuss the probabilities of the existence and nonexistence of global solutions and give some sufficient conditions for the global and non-global existence of solutions at three different initial energy levels, i.e., sub-critical level, critical level and sup-critical level.