Journal of Dynamics and Differential Equations

, Volume 5, Issue 1, pp 89–103

Convergence to equilibrium for delay-diffusion equations with small delay

  • Gero Friesecke
Article

DOI: 10.1007/BF01063736

Cite this article as:
Friesecke, G. J Dyn Diff Equat (1993) 5: 89. doi:10.1007/BF01063736

Abstract

It is shown that for scalar dissipative delay-diffusion equationsutΔu=f(u(t),u(t−τ)) with a small delay, all solutions are asymptotic to the set of equilibria ast tends to infinity.

Key words

Parabolic equations with time delay asymptotic behavior 

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Copyright information

© Plenum Publishing Corporation 1993

Authors and Affiliations

  • Gero Friesecke
    • 1
  1. 1.Institut für Angewandte MathematikUniversität BonnFederal Republic of Germany
  2. 2.Department of MathematicsHeriot-Watt UniversityEdinburghScotland

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