Attractors for a nonautonomous reaction-diffusion equation with delay | Zendy

Hafidha Harraga | Zendy; Mustapha Yebdri | Zendy

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Attractors 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.

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