| 一类非线性波动方程初边值问题整体弱解的存在性和渐近性 |
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| 引用本文： | 张金辉,陈自高.一类非线性波动方程初边值问题整体弱解的存在性和渐近性[J].华北水利水电学院学报,2006,27(4):110-112. |
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| 作者姓名： | 张金辉 陈自高 |
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| 作者单位： | 华北水利水电学院,河南,郑州,450011 |
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| 摘 要： | 应用Galerkin和位势井相结合的方法证明了一类非线性波动方程初边值问题整体弱解的存在性、惟一性和渐近性.并利用Nakao不等式证明了整体弱解具有指数衰减的性质.
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| 关 键 词： | 初边值问题 整体广义解 渐近性. |
| 文章编号： | 1002-5634（2006）04-0110-03 |
| 收稿时间： | 2006-07-10 |
| 修稿时间： | 2006-08-16 |
Existence and Asymptotic Behaviour of the Global Weak Solution of the Initial Boundary Value Problem for a Class of Nonlinear Wave Equation |
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| ZHANG Jin-hui,CHEN Zi-gao.Existence and Asymptotic Behaviour of the Global Weak Solution of the Initial Boundary Value Problem for a Class of Nonlinear Wave Equation[J].Journal of North China Institute of Water Conservancy and Hydroelectric Power,2006,27(4):110-112. |
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| Authors: | ZHANG Jin-hui CHEN Zi-gao |
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| Affiliation: | North China Institute of Water Conservancy and Hydroelectric Power, Zhengzhou 450011 ,China |
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| Abstract: | By Galerkin approximation scheme combined with the potential well method,the existence and uniqueness of the global weak solution to a class of nonlinear wave equation are proved.Applying Nakao's inequality, the global weak solution decayed with expoenal index are showed. |
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| Keywords: | initial boundary value problem global generalised solution asymptotic behaviour |
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