| 巴拿赫空间中半群指数吸引子的存在性 |
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| 引用本文： | 李永军,张效贤,臧子龙.巴拿赫空间中半群指数吸引子的存在性[J].数学研究及应用,2015,35(2):181-190. |
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| 作者姓名： | 李永军 张效贤 臧子龙 |
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| 作者单位： | 兰州城市学院数学学院 甘肃 兰州 730070;兰州城市学院数学学院 甘肃 兰州 730070;兰州城市学院数学学院 甘肃 兰州 730070 |
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| 基金项目： | 国家自然科学基金(Grant Nos.11261027; 11161026),2014陇原青年创新人才扶持计划项目. |
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| 摘 要： | We construct an exponential attractor for semigroup in Banach space by using ω-limit compactness method and provide a new method to prove the existence of an exponential attractor in uniformly convex Banach space. As a simple application, we prove the existence of an exponential attractor for reaction diffusion equations.
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| 关 键 词： | dynamical system exponential attractors fractal dimension measure of Noncompactness |
| 收稿时间： | 6/5/2014 12:00:00 AM |
| 修稿时间： | 2014/11/22 0:00:00 |
Existence of Exponential Attractors for Semigroup in Banach Space |
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| Yongjun LI,Xiaoxian ZHANG and Zilong ZANG.Existence of Exponential Attractors for Semigroup in Banach Space[J].Journal of Mathematical Research with Applications,2015,35(2):181-190. |
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| Authors: | Yongjun LI Xiaoxian ZHANG and Zilong ZANG |
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| Institution: | School of Mathematics, Lanzhou City University, Gansu 730070, P. R. China;School of Mathematics, Lanzhou City University, Gansu 730070, P. R. China;School of Mathematics, Lanzhou City University, Gansu 730070, P. R. China |
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| Abstract: | We construct an exponential attractor for semigroup in Banach space by using $\omega$-limit compactness method and provide a new method to prove the existence of an exponential attractor in uniformly convex Banach space. As a simple application, we prove the existence of an exponential attractor for reaction diffusion equations. |
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| Keywords: | dynamical system exponential attractors fractal dimension measure of Non-compactness |
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