Electron. J. Diff. Equ.,
Vol. 2016 (2016), No. 07, pp. 1-33.
Pullback attractors for a class of semilinear nonclassical diffusion
equations with delay
Hafidha Harraga, Mustapha Yebdri
Abstract:
In this article, we analyze the existence of solutions for a nonclassical
reaction-diffusion equation with critical nonlinearity, a time-dependent
force with exponential growth and delayed force term, where the delay
term can be entrained by a function under assumptions of measurability.
Using a priori estimates we obtain the pullback
-absorbing
process and the pullback
-limit compactness
that allow us to prove the existence of the pullback
-attractors
for the associated process to the problem.
Submitted June 4, 2015. Published January 6, 2016.
Math Subject Classifications: 35R10, 35K57, 35B41.
Key Words: Pullback attractors; nonclassical reaction-diffusion equations;
critical exponent, delay term.
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Hafidha Harraga
Dept of Mathematics
University Aboubekr Belkaid ot Tlemcen 13000
Tlemcen, Algeria
email: h.harraga@yahoo.fr
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Mustapha Yebdri
Dept of Mathematics
University Aboubekr Belkaid ot Tlemcen 13000
Tlemcen, Algeria
email: yebdri@yahoo.com
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