Observability of a Ring Shaped Membrane via Fourier Series

  • Vilmos Komornik
  • Paola Loreti
  • Michel Mehrenberger
Conference paper
Part of the IFIP Advances in Information and Communication Technology book series (IFIPAICT, volume 494)


We study the inverse Ingham type inequality for a wave equation in a ring. This leads to a conjecture on the zeros of Bessel cross product functions. We motivate the validity of the conjecture through numerical results. We do a complete analysis in the particular case of radial initial data, where an improved time of observability is available.


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Copyright information

© IFIP International Federation for Information Processing 2016

Authors and Affiliations

  • Vilmos Komornik
    • 1
  • Paola Loreti
    • 2
  • Michel Mehrenberger
    • 1
  1. 1.Université de StrasbourgStrasbourgFrance
  2. 2.Dipartimento di Scienze di Base e Applicate per l’IngegneriaSapienza Università di RomaRomaItaly

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