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PULLBACK ATTRACTORS FOR A NON-AUTONOMOUS SEMI-LINEAR DEGENERATE PARABOLIC EQUATION

Published online by Cambridge University Press:  25 August 2010

CUNG THE ANH  and
TANG QUOC BAO
CUNG THE ANH
Affiliation:
Department of Mathematics, Hanoi National University of Education, 136 Xuan Thuy, Cau Giay, Hanoi, Vietnam e-mail: anhctmath@hnue.edu.vn, mathizonewww@gmail.com
TANG QUOC BAO
Affiliation:
Department of Mathematics, Hanoi National University of Education, 136 Xuan Thuy, Cau Giay, Hanoi, Vietnam e-mail: anhctmath@hnue.edu.vn, mathizonewww@gmail.com
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Abstract

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In this paper, using the asymptotic a priori estimate method, we prove the existence of pullback attractors for a non-autonomous semi-linear degenerate parabolic equation in an arbitrary domain, without restriction on the growth order of the polynomial type non-linearity and with a suitable exponential growth of the external force. The obtained results improve some recent ones for the non-autonomous reaction–diffusion equations.

Keywords

35B4135K6535D05
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 52 , Issue 3 , September 2010 , pp. 537 - 554
Copyright
Copyright © Glasgow Mathematical Journal Trust 2010

References

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