Convergence in gradient-like systems with applications to PDE

  • Jack K. Hale
  • Geneviève Raugel
Original Papers

DOI: 10.1007/BF00944741

Cite this article as:
Hale, J.K. & Raugel, G. Z. angew. Math. Phys. (1992) 43: 63. doi:10.1007/BF00944741


In gradient-like systems, the limit set of an orbit belongs to the set of equilibrium points. We give easily applied conditions to determine when this limit set is a single point. Applications are given to parabolic equations, linearly damped hyperbolic equations as well as their discretizations.

Copyright information

© Birkhäuser Verlag 1992

Authors and Affiliations

  • Jack K. Hale
    • 1
  • Geneviève Raugel
    • 2
  1. 1.Center for Dynamical Systems and Nonlinear StudiesGeorgia Institute of TechnologyAtlantaUSA
  2. 2.Lab. d'Analyse NumériqueCNRS et Université de Paris-SudOrsay cédexFrance