Attractors for a nonautonomous reaction-diffusion equation with delay
Ā etĀ Ā Ā
03 oct. 2018
Ć propos de cet article
PubliƩ en ligne: 03 oct. 2018
Pages: 127 - 150
ReƧu: 07 janv. 2018
AcceptƩ: 04 mai 2018
DOI: https://doi.org/10.21042/AMNS.2018.1.00010
Mots clƩs
Ā© 2018 H. Harraga and M. Yebdri, published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.
In this paper, we discuss the existence and uniqueness of solutions for a non-autonomous reaction-diffusion equation with delay, after we prove the existence of a pullback š-asymptotically compact process. By a priori estimates, we show that it has a pullback š-absorbing set that allow us to prove the existence of a pullback š-attractor for the associated process to the problem.