Jingyu Wang, Yejuan Wang, Dun Zhao
Abstract:
This article concerns the asymptotic behavior of the following
non-autonomous degenerate parabolic equation with singular perturbations
defined on a bounded domain in
,
where
is a positive constant,
and
.
The well-posedness and upper semicontinuity of pullback attractors
are established for the problem without the uniqueness of solutions
under singular perturbations.
Submitted August 3, 2015. Published August 2, 2016.
Math Subject Classifications: 34K26, 35B41, 35K65.
Key Words: Pullback attractor; multi-valued process; upper semicontinuity;
p-laplacian equation; singular perturbation.
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Jingyu Wang School of Mathematics and Statistics Gansu Key Laboratory of Applied Mathematics and Complex Systems Lanzhou University, Lanzhou 730000, China email: wangjy418@qq.com | |
Yejuan Wang School of Mathematics and Statistics Gansu Key Laboratory of Applied Mathematics and Complex Systems Lanzhou University, Lanzhou 730000, China email: wangyj@lzu.edu.cn | |
Dun Zhao School of Mathematics and Statistics Gansu Key Laboratory of Applied Mathematics and Complex Systems Lanzhou University, Lanzhou 730000, China email: zhaod@lzu.edu.cn |
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