Exponential Stability of the Wave Equation with Memory and Time Delay

  • Fatiha Alabau-Boussouira
  • Serge Nicaise
  • Cristina Pignotti
Chapter
First Online:
Part of the Springer INdAM Series book series (SINDAMS, volume 10)

Abstract

We study the asymptotic behaviour of the wave equation with viscoelastic damping in presence of a time-delayed damping. We prove exponential stability if the amplitude of the time delay term is small enough.

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Copyright information

© Springer International Publishing Switzerland 2014

Authors and Affiliations

  • Fatiha Alabau-Boussouira
    • 1
  • Serge Nicaise
    • 2
  • Cristina Pignotti
    • 3
  1. 1.LMAMUniversité de Lorraine and CNRS (UMR 7122)Metz Cedex 1France
  2. 2.LAMAV FR CNRS 2956, Institut des Sciences et Techniques de ValenciennesUniversité de Valenciennes et du Hainaut CambrésisValenciennes Cedex 9France
  3. 3.Dipartimento di Ingegneria e Scienze dell’Informazione e MatematicaUniversità di L’AquilaL’AquilaItaly

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