| 带时滞非经典扩散方程依赖于时间的拉回吸引子 |
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| 引用本文： | 王芳平,马巧珍.带时滞非经典扩散方程依赖于时间的拉回吸引子[J].吉林大学学报(理学版),2002,58(1):15-23. |
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| 作者姓名： | 王芳平 马巧珍 |
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| 作者单位： | 西北师范大学 数学与统计学院, 兰州 730070 |
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| 摘 要： | 先运用Faedo Galerkin方法证明带时滞的非经典扩散方程弱解的适定性, 再运用收缩函数的方法给出拉回D渐近紧性, 从而
证明了依赖于时间的拉回吸引子的存在性.
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| 关 键 词： | 非经典扩散方程 依赖于时间的拉回吸引子 拉回吸收集 拉回D渐近紧 |
| 收稿时间： | 2019-05-08 |
Time Dependent Pullback Attractors for Nonclassical Diffusion Equations with Time Delays |
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| WANG Fangping,MA Qiaozhen.Time Dependent Pullback Attractors for Nonclassical Diffusion Equations with Time Delays[J].Journal of Jilin University: Sci Ed,2002,58(1):15-23. |
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| Authors: | WANG Fangping MA Qiaozhen |
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| Institution: | College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, China |
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| Abstract: | We first proved the well posedness of weak solutions for the nonclassical diffusion equations withtime delays by using the Faedo Galerkin method, and then we gave the pullback D asymptotic compactness by using the contraction function method, which proved the existence of time dependent pullback attractor. |
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| Keywords: | nonclassical diffusion equation time dependent pullback attractor pullback absorbing set pullback |
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