Convergences of asymptotically autonomous pullback attractors towards semigroup attractors

2017/11/23 by Cui, Hongyong
#35B40 #35B41 #37L30 #Analysis of PDEs (math.AP) #Dynamical Systems (math.DS) #FOS: Mathematics

paper · doi:10.48550/arxiv.1711.08556

Abstract

For pullback attractors of asymptotically autonomous dynamical systems we study the convergences of their components towards the global attractors of the limiting semigroups. We use some conditions of uniform boundedness of pullback attractors, instead of uniform compactness conditions used in the literature. Both forward convergence and backward convergence are studied.

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