, Volume 10, Issue 1, pp 37-45

A Remark on Two Constructions of Exponential Attractors for α-Contractions

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Abstract

An improvement in the original constructions of exponential attractors is indicated. Namely, when the solution semigroup is α-contractive and satisfies the discrete squeezing property, then even when the invariant set on which the semigroup acts is not compact, the original constructions carries through. We obtain the same conclusion for the construction with Lyapunov dimension for α-constructions.