| 具有色散的反应扩散方程在分数次幂空间的指数吸引子 |
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| 引用本文： | 戴正德. 具有色散的反应扩散方程在分数次幂空间的指数吸引子[J]. 应用数学学报, 1999, 22(4): 593-598 |
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| 作者姓名： | 戴正德 |
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| 作者单位： | 云南大学数学系!昆明，650091 |
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| 基金项目： | 云南省应用基础研究基金 |
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| 摘 要： | 本文得到具有色散的反应扩散方程组在分数次幂空间指数吸引子的存在性，同时得到（１，２）中整体吸引子分形维上界估计，完善和发展了（１－３）的结果。
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| 关 键 词： | 反应扩散方程 指数吸引子 分形维 分数次幂空间 |
THE EXPONENTIAL ATTRACTORS FOR REACTION-DIFFUSION EQUATIONS WITH DISPERSION IN FRACTIONAL POWER SPACES |
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| DAI ZHENGDE. THE EXPONENTIAL ATTRACTORS FOR REACTION-DIFFUSION EQUATIONS WITH DISPERSION IN FRACTIONAL POWER SPACES[J]. Acta Mathematicae Applicatae Sinica, 1999, 22(4): 593-598 |
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| Authors: | DAI ZHENGDE |
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| Abstract: | In this paper, the ekistence of the exponential attractors for reaction-dffesion equations with dispersion in fractional power spaces is obtained, at the same time, the upper bound of fractal dimension of global attractors is got, the results in [1-3] have been completed and developed. |
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| Keywords: | Reaction-diffusion equation exponential attractor fractal dimension |
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