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| 无界域上具阻尼的Kdv-Ksv方程的指数吸引子 | |
| 引用本文： | 席泓,高平,李有慧. 无界域上具阻尼的Kdv-Ksv方程的指数吸引子[J]. 西南师范大学学报(自然科学版), 2002, 27(1): 13-18 |
| 作者姓名： | 席泓 高平 李有慧 |
| 作者单位： | 1. 贵州民族学院数学系,贵州,贵阳,550025 2. 中山大学数学系,广东,广州,510275 3. 成都航空职业技术学院,四川,成都,610061 |
| 摘 要： | 通过加权空间的紧性和算子的分解来构造H^2（R^1）的紧算子，证明子KDV-KSV方程在H^2(R^1)中存在一个指数吸引子。 |
| 关 键 词： | 无界区域 KDV－KSV方程 挤压性 指数吸引子 阻尼 加权空间 整体吸引子 |
| 文章编号： | 1000-5471(2002)01-0013-06 |
| 修稿时间： | 2001-03-06 |
Exponential Attractor of Clamped Kdv-Ksv Equations in an Unbounded Domain |
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| XI Hong+,GAO Ping+,LI You hui+ Dept. of Mathematics,Guizhou Institute of Nationalities,Guiyang Guizhou ,China Dept. of Mathematics,Zhongshan University,Guangzhou Guangdong ,China Chengdu Aeronautic Vocational , T. Exponential Attractor of Clamped Kdv-Ksv Equations in an Unbounded Domain[J]. Journal of southwest china normal university(natural science edition), 2002, 27(1): 13-18 | |
| Authors: | XI Hong+ GAO Ping+ LI You hui+ Dept. of Mathematics Guizhou Institute of Nationalities Guiyang Guizhou China Dept. of Mathematics Zhongshan University Guangzhou Guangdong China Chengdu Aeronautic Vocational & T |
| Affiliation: | XI Hong+1,GAO Ping+2,LI You hui+3 1 Dept. of Mathematics,Guizhou Institute of Nationalities,Guiyang Guizhou 550025,China 2 Dept. of Mathematics,Zhongshan University,Guangzhou Guangdong 510275,China 3 Chengdu Aeronautic Vocational & T |
| Abstract: | The existence of exponential attractor in H+2(R+1) is proved for damped Kdv Ksv equation by constructing compact operators with the compactress of the weighted spaces and the decomposition of operators. |
| Keywords: | unbounded domaim Kdv Ksv equation squeezing property exponential attractor |
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