<abstract xmlns="http://www.w3.org/1999/xhtml"><p>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.</p></abstract>

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.

Attractors for a nonautonomous reaction-diffusion equation with delay

Applied Mathematics and Nonlinear Sciences

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

{"article-title":"Attractors for a nonautonomous reaction-diffusion equation with delay"}

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...

Attractors for a nonautonomous reaction-diffusion equation with delay

Publié en ligne: 03 oct. 2018

Pages: 127 - 150

Reçu: 07 janv. 2018

Accepté: 04 mai 2018

DOI: https://doi.org/10.21042/AMNS.2018.1.00010

Mots clés
pullback attractors, nonclassical reaction-diffusion equations, critical exponent, delay term

© 2018 H. Harraga and M. Yebdri, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Attractors for a nonautonomous reaction-diffusion equation with delay

Publié en ligne: 03 oct. 2018

Pages: 127 - 150

Reçu: 07 janv. 2018

Accepté: 04 mai 2018

DOI: https://doi.org/10.21042/AMNS.2018.1.00010

Mots cléspullback attractors, nonclassical reaction-diffusion equations, critical exponent, delay term

© 2018 H. Harraga and M. Yebdri, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Mots clés
pullback attractors, nonclassical reaction-diffusion equations, critical exponent, delay term