| 一类四阶非线性波动方程整体经典解的存在性 |
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| 引用本文： | 张艳丽,张珏.一类四阶非线性波动方程整体经典解的存在性[J].四川师范大学学报(自然科学版),2007,30(1):53-57. |
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| 作者姓名： | 张艳丽 张珏 |
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| 作者单位： | 1. 成都电子机械高等专科学校,信息与计算科学系,四川,成都,610031
2. 河海大学,水利水电工程学院,江苏,南京,210098 |
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| 摘 要： | 借助线性问题的衰减估计,在一适当的Banach空间,利用整体迭代法证明了一类半线性四阶波动方程Cauchy问题整体经典解的存在性.
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| 关 键 词： | 整体迭代法 四阶波动方程 整体经典解 |
| 文章编号： | 1001-8395（2007）01-0053-05 |
| 收稿时间： | 2005-09-09 |
| 修稿时间： | 2005年9月9日 |
Existence of Global Classical Solutions for a Kind of Fourth Order Nonlinear Wave Equations |
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| ZHANG Yan-li,ZHANG Jue.Existence of Global Classical Solutions for a Kind of Fourth Order Nonlinear Wave Equations[J].Journal of Sichuan Normal University(Natural Science),2007,30(1):53-57. |
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| Authors: | ZHANG Yan-li ZHANG Jue |
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| Institution: | 1. Information and Calculation Science Department, Chengdu Electron and Mechanical College, Chengdu 610031, Sichuan; 2. College of Water Conservancy and Hydropower Engineering, Hohai University, Nanjing 210098, Jiangsu |
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| Abstract: | In this paper, the existence of global classical solutions of Cauchy problems for some semilinear fourth order wave equations are proved by global iterative method, with the help of decay estimates of linear problem in some appropriate Banach space. |
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| Keywords: | Global iterative method Fourth order wave equation Global classical solution |
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