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.
Observability of a Ring Shaped Membrane via Fourier Series / Komornik, Vilmos; Loreti, Paola; Mehrenberger, Michel. - STAMPA. - 494:(2016), pp. 322-330. ( 27th IFIP TC 7 Conference, CSMO 2015 Sophia Antipolis, France ) [10.1007/978-3-319-55795-3_30].
Observability of a Ring Shaped Membrane via Fourier Series
Loreti, Paola;
2016
Abstract
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.File allegati a questo prodotto
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