| 非自治Plate方程时间依赖强拉回吸引子的存在性 |
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| 引用本文： | 刘亭亭,马巧珍.非自治Plate方程时间依赖强拉回吸引子的存在性[J].数学年刊A辑(中文版),2017,38(2):125-144. |
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| 作者姓名： | 刘亭亭 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.,西北师范大学数学与统计学院, 兰州 730070. |
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| 基金项目： | 本文受到国家自然科学基金(No.11561064,No.11361053)
和西北师范大学青年教师科研能力提升计划(No.NWNU-LKQN-14-6)的资助. |
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| 摘 要： | 结合Plinio等人(Plinio D,Duane G S,Temarn R,Time-dependent attractor for the oscillon equation,Discrete Contin Dyn Syst,2011,29(1):141-167.])提出的时间依赖全局吸引子概念,运用压缩函数的方法,证明了带有时间依赖系数的非自治Plate方程时间依赖拉回吸引子在空间H~4(Ω)∩H~2_0(Ω)×H~2_0(Ω)中的存在性.
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| 关 键 词： | Contractive function Non-autonomous plate equations Time-dependent strong pullback attractors |
| 收稿时间： | 2016/1/11 0:00:00 |
| 修稿时间： | 2016/8/22 0:00:00 |
The Existence of Time-Dependent Strong Pullback Attractors for Non-autonomous Plate Equations |
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| LIU Tingting and MA Qiaozhen.The Existence of Time-Dependent Strong Pullback Attractors for Non-autonomous Plate Equations[J].Chinese Annals of Mathematics,2017,38(2):125-144. |
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| Authors: | LIU Tingting and MA Qiaozhen |
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| Institution: | School of Mathematics and Statistics, Northwest Normal University,Lanzhou 730070, China. and School of Mathematics and Statistics, Northwest Normal University,Lanzhou 730070, China. |
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| Abstract: | Based on the notation of the time-dependent globel
attractor presented by Plinio et al. (Plinio D, Duane G S, Temam R, Time-dependent attractor for the oscillon equation,
{\it Discrete Contin Dyn Syst}, 2011, 29(1):141--167.]), the authors investigate the existence
of the time-dependent pullback attractor for the non-autonomous
plate equation with a time-dependent coefficient in a stronger
space $H^{4}(\Omega)\cap H_{0}^{2}(\Omega)\times
H_{0}^{2}(\Omega)$ by using the method of the contractive function. |
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| Keywords: | Contractive function Non-autonomous plate equations Time-dependent strong pullback attractors |
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