Attractors for a nonautonomous reaction-diffusion equation with delay
- Autores: Hafidha Harraga, Mustapha Yebdri
- Localización: Applied Mathematics and Nonlinear Sciences, ISSN-e 2444-8656, Vol. 3, Nº. 1, 2018, págs. 127-150
- Idioma: inglés
- DOI: 10.21042/amns.2018.1.00010
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Resumen
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
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