Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8900186 | Journal of Mathematical Analysis and Applications | 2018 | 17 Pages |
Abstract
In this paper, we consider the regularity of pullback attractors for a nonautonomous nonclassical diffusion equation with critical nonlinearity. In particular, under suitable assumptions, we prove that there exists a pullback attractor A={A(t)}tâR in H01(Ω) for a nonautonomous nonclassical diffusion equation, and for each tâR, A(t) is bounded in H2(Ω)â©H01(Ω).
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Physical Sciences and Engineering
Mathematics
Analysis
Authors
Yonghai Wang, Zilong Zhu, Pengrui Li,