| 含Grushin算子的抛物方程拉回吸引子的高阶吸引性 |
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| 引用本文： | 肖艳萍.含Grushin算子的抛物方程拉回吸引子的高阶吸引性[J].数学研究及应用,2015,35(6):659-671. |
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| 作者姓名： | 肖艳萍 |
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| 作者单位： | 西北民族大学数学与计算机科学学院, 甘肃 兰州 730030 |
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| 基金项目： | 数学天元基金（Grant No.11326100), 甘肃省自然科学基金(Grant No.145RJZA033). |
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| 摘 要： | 本文考虑了含Grushin算子的非自治抛物方程拉回吸引子的高阶吸引性.我们首先建立了极大值原理,其次研究了弱解差的高阶可积性,最后证明了高阶吸引性.
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| 关 键 词： | 非自治动力系统 高阶吸引性 极大值原理 拉回吸引子 Grushin算子 |
| 收稿时间： | 2015/3/30 0:00:00 |
| 修稿时间： | 2015/9/14 0:00:00 |
Higher-Order Attraction of Pullback Attractors for Parabolic Equations Involving Grushin Operators |
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| Yanping XIAO.Higher-Order Attraction of Pullback Attractors for Parabolic Equations Involving Grushin Operators[J].Journal of Mathematical Research with Applications,2015,35(6):659-671. |
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| Authors: | Yanping XIAO |
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| Institution: | College of Mathematics and Computer Science, Northwest University for Nationalities, Gansu 730030, P. R. China |
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| Abstract: | The higher-order attraction of pullback attractors for non-autonomous parabolic equations involving Grushin operators is considered. Firstly, the maximum principle is studied. Next, the higher-order integrability of the difference of weak solutions is established. Finally, the higher-order attraction is proved. |
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| Keywords: | non-autonomous dynamical system higher-order attraction maximum principle pullback attractor Grushin operators |
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