Attractors for a nonautonomous reaction-diffusion equation with delay
und | 03. Okt. 2018
Über diesen Artikel
Online veröffentlicht: 03. Okt. 2018
Seitenbereich: 127 - 150
Eingereicht: 07. Jan. 2018
Akzeptiert: 04. Mai 2018
DOI: https://doi.org/10.21042/AMNS.2018.1.00010
Schlüsselwörter
© 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 𝒟-asymptotically compact process. By a priori estimates, we show that it has a pullback 𝒟-absorbing set that allow us to prove the existence of a pullback 𝒟-attractor for the associated process to the problem.