Skip to main content
    • Aa
    • Aa

Exponential global attractors for semigroups in metric spaces with applications to differential equations


In this article semigroups in a general metric space V, which have pointwise exponentially attracting local unstable manifolds of compact invariant sets, are considered. We show that under a suitable set of assumptions these semigroups possess strong exponential dissipative properties. In particular, there exists a compact global attractor which exponentially attracts each bounded subset of V. Applications of abstract results to ordinary and partial differential equations are given.

Linked references
Hide All

This list contains references from the content that can be linked to their source. For a full set of references and notes please see the PDF or HTML where available.

[7] J. W. Cholewa and T. Dlotko . Global Attractors in Abstract Parabolic Problems. Cambridge University Press, Cambridge, 2000.

[10] O. Ladyzenskaya . Attractors for Semigroups and Evolution Equations. Cambridge University Press, Cambridge, 1991.

[12] G. R. Sell and Y. You . Dynamics of Evolutionary Equations. Springer, New York, 2002.

Recommend this journal

Email your librarian or administrator to recommend adding this journal to your organisation's collection.

Ergodic Theory and Dynamical Systems
  • ISSN: 0143-3857
  • EISSN: 1469-4417
  • URL: /core/journals/ergodic-theory-and-dynamical-systems
Please enter your name
Please enter a valid email address
Who would you like to send this to? *


Full text views

Total number of HTML views: 0
Total number of PDF views: 6 *
Loading metrics...

Abstract views

Total abstract views: 44 *
Loading metrics...

* Views captured on Cambridge Core between September 2016 - 26th May 2017. This data will be updated every 24 hours.