| 一类带有阻尼项和源项的波动方程的整体解的存在性(英文) |
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| 引用本文： | 冯红银萍,李胜家,逯丽清.一类带有阻尼项和源项的波动方程的整体解的存在性(英文)[J].应用泛函分析学报,2010,12(1):1-5. |
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| 作者姓名： | 冯红银萍 李胜家 逯丽清 |
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| 作者单位： | 1. 山西大学,数学科学学院,太原,030006
2. 山西大学,数学与应用数学研究所,太原,030006 |
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| 基金项目： | Supported by Natural Science Foundation of Shanxi Province(2007011002); Natural Science Founda-tion of China(10701051) |
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| 摘 要： | 研究带有阻尼项的非线性波动方程(1.1),得出在初值满足一定条件时,方程的整体解存在,且解的能量是指数衰减的.
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| 关 键 词： | 非线性波动方程 指数衰减 整体解 |
Global Existence of Solution to Nonlinear Wave Equation with Damping and Source Terms |
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| FENG Hongyinping,LI Shengjia,LU Liqing.Global Existence of Solution to Nonlinear Wave Equation with Damping and Source Terms[J].Acta Analysis Functionalis Applicata,2010,12(1):1-5. |
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| Authors: | FENG Hongyinping LI Shengjia LU Liqing |
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| Institution: | FENG Hongyinping1,LI Shengjia2,LU Liqing1(1.School of Mathmatical Sciences,Shanxi University,Taiyuan 030006,China)(2.Research Institute of Mathematics , Applied Mathematics,Shanxi University Taiyuan 030006,China) |
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| Abstract: | This article focus on the nonlinear wave equation(1.1). Under some restrictions on the parameters in the system,the paper obtain two results on the global existence of solution and exponentially decay of the energy. |
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| Keywords: | nonlinear wave equation exponentially decay global existence |
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