| 一类发展方程解的正则性与近似惯性流形 |
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| 引用本文： | 李有伟 王碧祥. 一类发展方程解的正则性与近似惯性流形[J]. 兰州大学学报(自然科学版), 1997, 33(1): 10-16 |
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| 作者姓名： | 李有伟 王碧祥 |
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| 作者单位： | [1]兰州大学数学系 [2]北京应用物理与计算数学所 |
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| 摘 要： | 对一类发展方程证明了了其解的时间解析性与Ｇｅｖｒｅｙ正则性，并构造了该方程的一个近似惯性流形，它吸引方程的每一个解到其指数薄的邻域之内。
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| 关 键 词： | 发展方程 解析性 解 正则性 近似惯性流形 |
Regularity and Approximate Inertial Manifolds or a Class of Evolutionary Equations |
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| Li Youwei. Regularity and Approximate Inertial Manifolds or a Class of Evolutionary Equations[J]. Journal of Lanzhou University(Natural Science), 1997, 33(1): 10-16 |
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| Authors: | Li Youwei |
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| Abstract: | The time analyticity and Gevrey regularity for a class of evolutionary equations are studied. And the correspondingly approximate inertial manifold which absorbs any solution enters its exponential thin neighborhood in a finite time is also introduced. |
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| Keywords: | evolutionary equation time analyticity Gevrey regularity approximate inertial manifold |
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