Tang Quoc Bao
Abstract:
We prove the existence of uniform attractors for the non-autonomous
reaction diffusion equation
on
, where the external force g is translation bounded
and the nonlinearity f satisfies a polynomial growth condition.
Also, we prove the upper semi-continuity of uniform attractors
with respect to the nonlinearity.
Submitted April 10, 2012. Published November 24, 2012.
Math Subject Classifications: 34D45, 35B41, 35K57, 35B30.
Key Words: Uniform attractors; reaction diffusion equations;
unbounded domain; upper semicontinuity.
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Tang Quoc Bao School of Applied Mathematics and Informatics Ha Noi University of Science and Technology 1 Dai Co Viet, Hai Ba Trung, Hanoi, Vietnam email: baotangquoc@gmail.com |
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