| ON THE EXISTENCE OF GLOBAL ATTRACTOR FOR A CLASS OF INFINITE DIMENSIONAL DISSIPATIVE NONLINEAR DYNAMICAL SYSTEMS |
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| 作者姓名： | ZHONG Chengkui SUN Chunyou NIU Mingfei |
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| 作者单位： | ZHONG CHENGKUI SUN CHUNYOU NIU MINGFEI School of Mathematics and Statistics，Lanzhou University，Lanzhou 730000，China. School of Mathematics and Statistics，Lanzhou University，Lanzhou 730000，China. |
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| 基金项目： | Project supported by the National Natural Science Foundation of China (No. 19971036)
the Trans-Century Training Programme Foundation for the Talents by the Ministry of Education of China. |
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| 摘 要： | By means of a nonstandard estimation about the energy functional, the authors prove the existence of a global attractor for an abstract nonlinear evolution equation. As an application, the existence of a global attractor for some nonlinear reaction-diffusion equations with some distribution derivatives in inhomogeneous terms is obtained.
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| 关 键 词： | 全局吸引子 非紧性测度 反应扩散函数 希尔伯特空间 引力系统 |
| 收稿时间： | 3/4/2002 12:00:00 AM |
| 修稿时间： | 4/4/2002 12:00:00 AM |
ON THE EXISTENCE OF GLOBAL ATTRACTOR FOR A CLASS OF INFINITE DIMENSIONAL DISSIPATIVE NONLINEAR DYNAMICAL SYSTEMS |
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| ZHONG Chengkui,SUN Chunyou,NIU Mingfei.ON THE EXISTENCE OF GLOBAL ATTRACTOR FOR A CLASS OF INFINITE DIMENSIONAL DISSIPATIVE NONLINEAR DYNAMICAL SYSTEMS[J].Chinese Annals of Mathematics,Series B,2005,26(3):393-400. |
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| Authors: | ZHONG Chengkui SUN Chunyou and NIU Mingfei |
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| Institution: | School of Mathematics and Statistics, Lanzhou University, Lanzhou 730000, China |
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| Abstract: | By means of a nonstandard estimation about the energy functional, the authors prove the existence of a global attractor for an abstract nonlinear evolution equation. As an application, the existence of a global attractor for some nonlinear reaction-diffusion equations with some distribution derivatives in inhomogeneous terms is obtained. |
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| Keywords: | Global attractor Measures of noncompactness Reaction-diffusion equations |
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