| （E0，E）型渐近光滑映射和耗散波方程 |
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| 引用本文： | 戴正德,屈超纯,陈凤新.（E0，E）型渐近光滑映射和耗散波方程[J].数学研究,1995,28(2):1-9. |
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| 作者姓名： | 戴正德 屈超纯 陈凤新 |
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| 作者单位： | 云南大学数学系 |
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| 摘 要： | 本文在无穷维空间引入（Ｅ_０，Ｅ）型渐近光滑映射的概念，研究了其基本性质和变为Ｅ中渐近光滑映射的条件，我们证明了（Ｅ_０，Ｅ）型吸引子存在性定理和（Ｅ_０，Ｅ）型吸引子转化为Ｅ中吸引子的条件定理，所有结果都应用于一类耗散波方程渐近性态的研究。映射，吸引子，耗散波
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| 关 键 词： | 渐近 光滑映射 吸引子 存在性定理 耗散 无穷 性态 方程 证明 基本性质 |
(E_0, E)Asymptotically Smooth Maps And Dissipative Wave Equations |
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| Dai Zhengde, Qu Chaochun, Chen Fengxin.(E_0, E)Asymptotically Smooth Maps And Dissipative Wave Equations[J].Journal of Mathematical Study,1995,28(2):1-9. |
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| Authors: | Dai Zhengde Qu Chaochun Chen Fengxin |
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| Institution: | Mathematics Department of Yun Nan University |
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| Abstract: | In this paper, we will introduce the concept of (E0,E) asytmptotilly smooth map in infinite dimehonal space, and study its basic properties and conditions under which it becomes an asymptotically smooth map in E. We prove the existence theorem of (E0,E) attractor and theorems about conditions under which an (E0,E) attractor becomes an attractor in E. All results are appliable to the study of the asymptotic properties of a class of dissipative wave equations. |
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| Keywords: | Map attractor dissipative wave |
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