| 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,2017,38(2):125~144 |
| 非自治Plate方程时间依赖强拉回吸引子 的存在性 |
| The Existence of Time-Dependent Strong Pullback Attractors for Non-autonomous Plate Equations |
| Received:January 11, 2016 Revised:August 22, 2016 |
| DOI：10.16205/j.cnki.cama.2017.0011 |
| 中文关键词: Contractive function, Non-autonomous plate equations, Time-dependent strong pullback attractors |
| 英文关键词:Contractive function, Non-autonomous plate equations, Time-dependent strong pullback attractors |
| 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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| 中文摘要: |
| 结合Plinio等人([Plinio D, Duane G S, Temam R, Time-dependent attractor for the oscillon equation,
{\it 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
$H^{4}(\Omega)\cap H_{0}^{2}(\Omega)\times H_{0}^{2}(\Omega)$中的存在性. |
| 英文摘要: |
| 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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