Bo You, Fang Li
This article studies the long-time asymptotic behavior of solutions for the non-autonomous -Laplacian equation
with dynamic flux boundary conditions
in a n-dimensional bounded smooth domain under some suitable assumptions. We prove the existence of a pullback attractor in by asymptotic a priori estimate.
Submitted June 26, 2013. Published March 18, 2014.
Math Subject Classifications: 35B40, 37B55.
Key Words: Pullback attractor; Sobolev compactness embedding; p-Laplacian; norm-to-weak continuous process; asymptotic a priori estimate; non-autonomous; nonlinear flux boundary conditions.
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| Bo You |
School of Mathematics and Statistics
Xi'an Jiaotong University
Xi'an, 710049, China
| Fang Li |
Department of Mathematics, Nanjing University
Nanjing, 210093, China
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