EXISTENCE OF PULLBACK ATTRACTOR FOR A REACTION–DIFFUSION EQUATION IN SOME UNBOUNDED DOMAINS WITH NON-AUTONOMOUS FORCING TERM IN H-1-Reference-Cited by-同舟云学术

EXISTENCE OF PULLBACK ATTRACTOR FOR A REACTION–DIFFUSION EQUATION IN SOME UNBOUNDED DOMAINS WITH NON-AUTONOMOUS FORCING TERM IN H-1

Published:2010-09 Issue:09 Volume:20 Page:2645-2656
ISSN:0218-1274
Container-title:International Journal of Bifurcation and Chaos
language:en
Short-container-title:Int. J. Bifurcation Chaos

Author:

ANGUIANO MARÍA¹,CARABALLO TOMÁS¹,REAL JOSÉ¹

Affiliation:

1. Dpto. Ecuaciones Diferenciales y Análisis Numérico, Universidad de Sevilla, Apdo. de Correos 1160, 41080-Sevilla, Spain

Abstract

The existence of a pullback attractor in L2(Ω) for the following non-autonomous reaction–diffusion equation [Formula: see text] is proved in this paper, when the domain Ω is not necessarily bounded but satisfying the Poincaré inequality, and [Formula: see text]. The main concept used in the proof is the asymptotic compactness of the process generated by the problem.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modeling and Simulation,Engineering (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S021812741002726X

Reference18 articles.

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