| 带有阻尼项和源项的波动方程的全局解和爆破解 |
| |
| 引用本文： | 李胜家,冯红银萍,逯丽清.带有阻尼项和源项的波动方程的全局解和爆破解[J].应用泛函分析学报,2011,13(3):260-266. |
| |
| 作者姓名： | 李胜家 冯红银萍 逯丽清 |
| |
| 作者单位： | 1. 山西大学数学与应用数学研究所,太原,030006
2. 山西大学数学科学学院,太原,030006 |
| |
| 基金项目： | Research supported by NSFC(2007011002) |
| |
| 摘 要： | 讨论非线性波动方程(1.1)全局解的存在性和不存在性.当初值满足某些条件时,给出了新的判定全局解是否存在的条件.
|
| 关 键 词： | 非线性偏微分系统 爆破 全局存在 |
Global Existence and Nonexistence of Solution to Wave Equation with Damping and Source Terms |
| |
| LI Shengjia,FENG Hongyinping,LU Liqing.Global Existence and Nonexistence of Solution to Wave Equation with Damping and Source Terms[J].Acta Analysis Functionalis Applicata,2011,13(3):260-266. |
| |
| Authors: | LI Shengjia FENG Hongyinping LU Liqing |
| |
| Institution: | LI Shengjia~1,FENG Hongyinping~2,LU Liqing~2 1.Research Institute of Mathematics and Applied Mathematics,Taiyuan 030006,China 2.School of Mathmatical Sciences,Shanxi University,China |
| |
| Abstract: | In this article we focus on the global existence and nonexistence for the nonlinear wave equations (1.1) with arbitrary initial data.Under some restriction on the parameters in the system,we give some (new) conditions which can distinguish between existence and nonexistence of the global solution. |
| |
| Keywords: | nonlinear partial differential system blow up global existence |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
