Bo You, Fang Li
Abstract:
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 email: youb03@126.com |
Fang Li Department of Mathematics, Nanjing University Nanjing, 210093, China email: lifang101216@126.com |
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