Decay Estimates for the Wave Equation with Internal Damping

  • Vilmos Komornik
Part of the ISNM International Series of Numerical Mathematics book series (ISNM, volume 118)


We obtain optimal estimates for the solution of an integral inequality related to many stabilization problems. Then it is applied to improve some recent results concerning the energy decay of the wave equation with internal nonlinear feedback. Unlike the earlier works, our method also applies in the case of bounded feedback functions.

1991 Mathematics Subject Classification

35L05 93D15 

Key words and phrases

Wave equation feedback stabilization integral inequality 


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Copyright information

© Springer Basel AG 1994

Authors and Affiliations

  • Vilmos Komornik
    • 1
  1. 1.Institut de Recherche Mathématique AvancéeUniversité Louis Pasteur et C.N.R.S.Strasbourg CedexFrance

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