| 带有非线性阻尼的非线性发展方程的时间依赖吸引子 |
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| 引用本文： | 刘亭亭,马巧珍.带有非线性阻尼的非线性发展方程的时间依赖吸引子[J].四川大学学报(自然科学版),2017,54(5):917-924. |
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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,西北师范大学数学与统计学院 |
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| 摘 要： | 本文考虑带有非线性阻尼的非线性发展方程解的长时间行为，通过时间依赖空间中的理论，利用压缩函数的方法与更多的估计技巧，证明了带有临界非线性项的非线性发展方程时间依赖吸引子的存在性。
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| 关 键 词： | 非线性发展方程 非线性阻尼 时间依赖吸引子 压缩函数 |
| 收稿时间： | 2016/9/1 0:00:00 |
| 修稿时间： | 2016/10/31 0:00:00 |
Time-dependent global attractor of the nonlinear evolution equation with nonlinear damping |
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| LIU Ting-Ting and MA Qiao-Zhen.Time-dependent global attractor of the nonlinear evolution equation with nonlinear damping[J].Journal of Sichuan University (Natural Science Edition),2017,54(5):917-924. |
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| Authors: | LIU Ting-Ting and MA Qiao-Zhen |
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| Institution: | College of Mathematics and Statistics, Northwest Normal University and College of Mathematics and Statistics, Northwest Normal University |
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| Abstract: | In this article, we consider the long-time
behavior of solutions for the nonlinear evolution equation with nonlinear damping. Within the theory of process on time-dependent spaces, by using the contractive functions and more detailed estimates, we prove the existence of the time-dependent attractor for the nonlinear evolution equation with critical nonlinearity. |
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| Keywords: | nonlinear evolution equation nonlinear damping time-dependent attractor contractive functions |
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