Tang Quoc Bao
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
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