Under the assumption that ？g(t) is translation bounded
in, and using the method developed in [3], we prove the
existence of pullback exponential attractors in ？for nonlinear reaction
diffusion equation with polynomial growth nonlinearity(
References
[1]
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[2]
Czaja, R. and Efendiev, M. (2011) Pullback Exponential Attractors for Non-Autonomous Equations, Part I: Semilinear parabolic Problems. Journal of Mathematical Analysis and Applications, 381, 748-765.
http://dx.doi.org/10.1016/j.jmaa.2011.03.053
[3]
Li, Y., Wang, S. and Zhao, T. (2015) The Existence of Pullback Exponential Attractors for Non-Autonomous Dynamical System and Application to Non-Autonomous Reaction Diffusion Equations. J. Appl. Anal. Comp (in press).
[4]
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[5]
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[6]
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[7]
Song, H. and Wu, H. (2007) Pullback Attractor for Nonlinear Autonomous Reaction Diffusion Equations. Journal of Mathematical Analysis and Applications, 325, 1200-1215. http://dx.doi.org/10.1016/j.jmaa.2006.02.041
[8]
Song, H. (2010) Pullback Attractors of Nonautonomous Reaction Diffusion Equation in . Journal of Differential Equations, 249, 2357-2376. http://dx.doi.org/10.1016/j.jde.2010.07.034
[9]
Li, Y. and Zhong, C. (2007) Pullback Attractors for the Norm-to-Weak Continuous Process and Application to the Non-Autonomous Reaction Diffusion Equations. Appl. Math. Comp., 190, 1020-1029.
http://dx.doi.org/10.1016/j.amc.2006.11.187
[10]
Lu, S., Wu, Q. and Zhong, C. (2005) Attractors for Nonautonomous 2D Navier-Stokes Equation with Normal External Forces. Discrete Cont. Dyna. Syst, 13, 701-719. http://dx.doi.org/10.3934/dcds.2005.13.701
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