Geodesic
Pullback attractors for a class of semilinear nonclassical diffusion equations with delay
Electronic Journal of Differential Equations, Tome 2016 (2016).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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 $\mathcal{D}$-absorbing process and the pullback $\omega{-}\mathcal{D}$-limit compactness that allow us to prove the existence of the pullback $\mathcal{D}$-attractors for the associated process to the problem.
Classification : 35R10, 35K57, 35B41
Keywords: pullback attractors, nonclassical reaction-diffusion equations, critical exponent, delay term 
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     author = {Harraga, Hafidha and Yebdri, Mustapha},
     title = {Pullback attractors for a class of semilinear nonclassical diffusion equations with delay},
     journal = {Electronic Journal of Differential Equations},
     publisher = {mathdoc},
     volume = {2016},
     year = {2016},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2016__2016__a50/}
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Harraga, Hafidha; Yebdri, Mustapha. Pullback attractors for a class of semilinear nonclassical diffusion equations with delay. Electronic Journal of Differential Equations, Tome 2016 (2016). http://geodesic.mathdoc.fr/item/EJDE_2016__2016__a50/