| 弱耗散抽象发展方程全局吸引子的存在性 |
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| 引用本文： | 王春梅,汪璇,钟承奎.弱耗散抽象发展方程全局吸引子的存在性[J].纯粹数学与应用数学,2012,28(3):401-411,426. |
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| 作者姓名： | 王春梅 汪璇 钟承奎 |
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| 作者单位： | 1. 西北师范大学数学与信息科学学院,甘肃兰州,730070
2. 南京大学数学系,江苏,南京210093 |
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| 摘 要： | 采用定义泛函,忽略粘性阻尼项时,在特定空间中研究了弱耗散抽象发展方程,得到了该方程全局吸引子的存在性结论,丰富了该类方程全局吸引子存在性的证法.
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| 关 键 词： | 弱耗散抽象发展方程 记忆核 全局吸引子 |
Existence of global attractors for weak dissipation abstractevolution equations |
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| Wang Chunmei,Wang Xuan,Zhong Chengkui.Existence of global attractors for weak dissipation abstractevolution equations[J].Pure and Applied Mathematics,2012,28(3):401-411,426. |
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| Authors: | Wang Chunmei Wang Xuan Zhong Chengkui |
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| Institution: | 1.College of Mathematics and Information Science,Northwest Normal University,Lanzhou 730070,China;2.Department of Mathematics,Nanjing University,Nanjing 210093,China) |
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| Abstract: | In this paper,by the method of defining functional,when viscoelastic damped term was neglected,we investigated and achieved the existence of global attractors for weak dissipation abstract evolution equations in particular space,so that the method of the existence of global attractors for this type of equations was extended. |
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| Keywords: | weak dissipation abstract evolution equation memory kernel global attractor |
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