Journal of Dynamics and Differential Equations

, Volume 10, Issue 1, pp 37–45

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

  • A. Eden
  • C. Foias
  • V. Kalantarov

DOI: 10.1023/A:1022636328133

Cite this article as:
Eden, A., Foias, C. & Kalantarov, V. Journal of Dynamics and Differential Equations (1998) 10: 37. doi:10.1023/A:1022636328133


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.

α-ContractionsattractorsLyapunov dimension

Copyright information

© Plenum Publishing Corporation 1998

Authors and Affiliations

  • A. Eden
    • 1
  • C. Foias
    • 2
  • V. Kalantarov
    • 3
  1. 1.Mathematics Department, BebekBoğaziçi UniversityIstanbulTurkey
  2. 2.Mathematics DepartmentIndiana UniversityBloomington
  3. 3.Mathematics Department, BeytepeHacettepe UniversityAnkaraTurkey