Attractors for a nonautonomous reaction-diffusion equation with delay
and | Oct 03, 2018
Published Online: Oct 03, 2018
Page range: 127 - 150
Received: Jan 07, 2018
Accepted: May 04, 2018
DOI: https://doi.org/10.21042/AMNS.2018.1.00010
Keywords
© 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.