| 一类非线性波动方程解的存在惟一性 |
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| 引用本文： | 段跃兴. 一类非线性波动方程解的存在惟一性[J]. 太原理工大学学报, 2004, 35(2): 240-243 |
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| 作者姓名： | 段跃兴 |
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| 作者单位： | 太原理工大学,理学院,山西,太原,030024 |
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| 摘 要： | 证明了一类非线性波动方程解的存在惟一性。首先利用Galerkin法构造了近似解序列，然后利用一致先验估计，证明解序列的收敛性，从而得到解的存在性，在此基础上证明了解的惟一性。
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| 关 键 词： | 波动方程 弱星收敛 Galerkin法 |
| 文章编号： | 1007-9432(2004)02-0240-04 |
| 修稿时间： | 2003-11-10 |
The Existence and Uniqueness of the Solution of a Class Nonlinear Wave Equations |
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| DUAN Yue-xing. The Existence and Uniqueness of the Solution of a Class Nonlinear Wave Equations[J]. Journal of Taiyuan University of Technology, 2004, 35(2): 240-243 |
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| Authors: | DUAN Yue-xing |
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| Abstract: | In this paper author obtains the existence and uniqueness theorem for solutions of a class of nonlinear wave equations. By using Galerkin method to construct the approximating sequence of solutions and a priori estimate,the convergence of approximate solutions was proved,then the existence and uniqueness of solutions for a nonlinear wave equation can be obtained. |
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| Keywords: | wave equation weak convergence Galerkin method |
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