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| 无界区域R~1上的KDV型方程的指数吸引子 | |
| 引用本文： | 陈光淦,蒲志林,魏赟赟.无界区域R~1上的KDV型方程的指数吸引子[J].数学学报,2004,47(3):441-448. |
| 作者姓名： | 陈光淦 蒲志林 魏赟赟 |
| 作者单位： | 1. 四川大学数学学院,成都,610064;四川师范大学数学与软件科学学院,成都,610066 2. 四川师范大学数学与软件科学学院,成都,610066 3. 成都理工大学信息管理学院 成都 610059 |
| 摘 要： | 本文研究了无界区域R~1上的KDV型方程,运用带权空间构造一类紧算子和算子分解的方法,得到了该方程在无界区域R~1上拥有一个指数吸引子。 |
| 关 键 词： | 无界区域 KDV型方程 指数吸引子 |
| 文章编号： | 0583-1431(2004)03-0441-08 |
Exponential Attractor of KDV Type Equation on Unbounded Domain R~1 |
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| Guang Gan CHEN Institute of Mathematics,Sichuan University,Chengdu ,P. R. China Collope of Mathematica and Softeware Science,Sichuan Normal University,Chengdu ,P. R. China Zhi Lin PU College of Mathematics and Softeware Science,Sichuan Normal University,Chengdu ,P R. China Yun Yun WEI College of Information Munagement,Chengdu University of Technology,Chengdu ,P. R. China.Exponential Attractor of KDV Type Equation on Unbounded Domain R~1[J].Acta Mathematica Sinica,2004,47(3):441-448. | |
| Authors: | Guang Gan CHEN Institute of Mathematics Sichuan University Chengdu P R China Collope of Mathematica and Softeware Science Sichuan Normal University Chengdu P R China Zhi Lin PU College of Mathematics and Softeware Science Sichuan Normal University Chengdu P R China Yun Yun WEI College of Information Munagement Chengdu University of Technology Chengdu P R China |
| Institution: | Guang Gan CHEN Institute of Mathematics, Sichuan University, Chengdu 610064, P. R. China Collope of Mathematica and Softeware Science, Sichuan Normal University,Chengdu 610066, P. R. China Zhi Lin PU College of Mathematics and Softeware Science, Sichuan Normal University,Chengdu 610066, P R. China Yun Yun WEI College of Information Munagement, Chengdu University of Technology,Chengdu 610059, P. R. China |
| Abstract: | In this paper, the KDV type equation is considered on an unbounded domain R~1.By applying the theory of decomposing operator and the method of constructing some compact operator in weighted space, the existence of exponential attractor on R~1 is Obtained. |
| Keywords: | Unbounded domain KDV type equation Exponential attrator |
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