| 一类四阶非线性波动方程初边值整体解的惟一存在性及其blowup性质 |
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| 引用本文： | 郭大鹏.一类四阶非线性波动方程初边值整体解的惟一存在性及其blowup性质[J].江汉大学学报(自然科学版),2005,33(3):10-13. |
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| 作者姓名： | 郭大鹏 |
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| 作者单位： | 绍兴越秀外国语学院,浙江,绍兴,312000 |
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| 摘 要： | 对在研究压缩物质层物理波的传播时所提出的一类四阶非线性波动方程进行了研究,用压缩映射原理和解的延拓方法证明了其初始值整体广义解和整体古典解的存在性与惟一性,同时还讨论了其解的爆破性质.
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| 关 键 词： | 四阶非线性波动方程 初边值 整体解 blowup(爆破)性质 |
| 文章编号： | 1673-0143（2005）03-0010-04 |
| 收稿时间： | 2005-05-30 |
| 修稿时间： | 2005年5月30日 |
Unique Existence and Blowup Characteristics of Global Solution for Initial Boundary Value of a Class of Nonlinear Wave Equation of Fourth Order |
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| GUO Da-peng.Unique Existence and Blowup Characteristics of Global Solution for Initial Boundary Value of a Class of Nonlinear Wave Equation of Fourth Order[J].Journal of Jianghan University:Natural Sciences,2005,33(3):10-13. |
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| Authors: | GUO Da-peng |
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| Abstract: | Researches a class of wave equation of fourth order, which was put forward in the research on compressed material layer physical wave. Proves the uniqueness and the existence of global generalized solution and global classical solution of initial boundary value of a class of nonlinear wave equation of fourth order through the compress mapping theory and delay method of solution, at the same time, discusses the blowup characteristics of the solution. |
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| Keywords: | nonlinear wave equation of fourth order initial boundary value global solution blowup characteristic |
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