Open AccessAttractors for a nonautonomous reaction-diffusion equation with delay
Author(s) -
Hafidha Harraga,
Mustapha Yebdri
Publication year - 2018
Publication title -
applied mathematics and nonlinear sciences
Language(s) - English
Resource type - Journals
ISSN - 2444-8656
DOI - 10.21042/amns.2018.1.00010
Subject(s) - pullback attractor , pullback , uniqueness , mathematics , attractor , a priori and a posteriori , reaction–diffusion system , diffusion process , mathematical analysis , diffusion , set (abstract data type) , pure mathematics , physics , computer science , thermodynamics , philosophy , knowledge management , innovation diffusion , epistemology , programming language
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 -asymptotically compact process. By a priori estimates, we show that it has a pullback -absorbing set that allow us to prove the existence of a pullback -attractor for the associated process to the problem.