Journal of Dynamical and Control Systems

, Volume 16, Issue 4, pp 495–515 | Cite as

Interior and Analytic Stabilization of the Wave Equation over a Cylinder



We analyze the analytic stabilization of the wave equation on a cylinder subject to an interior dissipation that does not satisfy the classical geometric control condition BLR. For this model, we prove that the space of exponential stabilized functions is lower than the whole energy space. We use spectral properties to find the set of functions that can be stabilized. We define a constant α S which gives an estimate for the analyticity required for an initial data to hold in the space of stabilized functions.

2000 Mathematics Subject Classification

93-xx 93DXX 93D15 

Key words and phrases

Stabilization analytic observability inequality 


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Copyright information

© Springer Science+Business Media, LLC 2010

Authors and Affiliations

  1. 1.Institut Supérieur des Sciences Appliquées et de Technologie de SousseSousseTunisie
  2. 2.Département de MathématiquesFaculté des Sciences de MonastirMonastirTunisie

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