| 全空间中具时间依赖参数的p-Laplacian方程的拉回吸引子 |
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| 引用本文： | 王怡,马巧珍.全空间中具时间依赖参数的p-Laplacian方程的拉回吸引子[J].四川大学学报(自然科学版),2020,57(1):43-48. |
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| 作者姓名： | 王怡 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： | 国家自然科学基金(11561064); 西北师范大学创新团队基金(NWNU-LKQN-14-6) |
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| 摘 要： | 本文考虑无界域上p-laplacian方程u_t-div(ε(t)|▽u|~(p-2)▽u)+f(x,u)=g(x,t)的长时动力学行为.在外力项满足积分条件下，本文利用尾部估计方法证明了方程对应的过程是渐近紧的，从而得到其拉回吸引子的存在性.
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| 关 键 词： | 无界域 p-Laplacian方程 拉回吸引子 |
| 收稿时间： | 2018/11/19 0:00:00 |
| 修稿时间： | 2019/4/3 0:00:00 |
Pullback attractor of p-Laplacian equation with time-dependent parameters on the entire space |
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| WANG Yi and MA Qiao-Zhen.Pullback attractor of p-Laplacian equation with time-dependent parameters on the entire space[J].Journal of Sichuan University (Natural Science Edition),2020,57(1):43-48. |
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| Authors: | WANG Yi and MA Qiao-Zhen |
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| Institution: | The Northwest Normal University |
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| Abstract: | We consider the long-time behavior of the non-autonomous p-Laplacian equation~$u_{t}-\mathrm{div}(\varepsilon(t)|\nabla u|^{p-2}\nabla u)+f(x,u)=g(x,t).$ We prove that the process associated with the equation is asymptotically compact, which the forcing term only satisfies the certain integral condition. By using the uniform tails estimates of solutions, and then obtain the existence of pullback attractor. |
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| Keywords: | unbounded domain p-Laplacian equation non-autonimous pullback attractor |
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