| 一类非线性四阶波动方程整体解的存在性 |
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| 引用本文： | 陈勇明,杨晗. 一类非线性四阶波动方程整体解的存在性[J]. 数学季刊, 2008, 23(1): 109-114 |
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| 作者姓名： | 陈勇明 杨晗 |
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| 作者单位： | CHEN Yong-ming（Department of Computation Science,Chengdu University of Information Technology,Chengdu 610225,China） YANG Han（Department of Mathematics,Southwest Jiaotong University,Chengdu 610031,China） |
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| 摘 要： | The initial boundary value problem for the fourth-order wave equation utt △2u u=|t|p-1u is considered.The existence and uniqueness of global weak solutions is obtained by using the Galerkin method and the concept of stable set due to Sattinger.
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| 关 键 词： | wave equation global solutions Galerkin method potential well 非线性 四阶波动方程 整体解 存在性 Wave Equations Global Solutions Existence existence and uniqueness global weak solutions Galerkin method concept stable initial boundary value problem wave equation |
| 文章编号： | 1002-0462(2008)01-0109-06 |
| 修稿时间： | 2005-05-09 |
A Characterization of Existence of Global Solutions for Some Fourth-order Wave Equations |
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| CHEN Yong-ming YANG Han. A Characterization of Existence of Global Solutions for Some Fourth-order Wave Equations[J]. Chinese Quarterly Journal of Mathematics, 2008, 23(1): 109-114 |
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| Authors: | CHEN Yong-ming YANG Han |
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| Affiliation: | [1]Department of computation Science, Chengdu University of Information Teehnologv, Chengdu 610225,China [2]Department of Mathematics, Southwest Jiaotong University, Chengdu 610031, China |
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| Abstract: | The initial boundary value problem for the fourth-order wave equation utt △2u u=|t|p-1u is considered.The existence and uniqueness of global weak solutions is obtained by using the Galerkin method and the concept of stable set due to Sattinger. |
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| Keywords: | wave equation global solutions Galerkin method potential well |
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