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.
Type de document :
Communication dans un congrès
Lorena Bociu; Jean-Antoine Désidéri; Abderrahmane Habbal. 27th IFIP Conference on System Modeling and Optimization (CSMO), Jun 2015, Sophia Antipolis, France. Springer International Publishing, IFIP Advances in Information and Communication Technology, AICT-494, pp.322-330, 2016, System Modeling and Optimization. 〈10.1007/978-3-319-55795-3_30〉
https://hal.inria.fr/hal-01626896
Contributeur : Hal Ifip
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Soumis le : mardi 31 octobre 2017 - 14:40:36
Dernière modification le : vendredi 21 décembre 2018 - 13:08:01
Document(s) archivé(s) le : jeudi 1 février 2018 - 13:34:13
Vilmos Komornik, Paola Loreti, Michel Mehrenberger. Observability of a Ring Shaped Membrane via Fourier Series. Lorena Bociu; Jean-Antoine Désidéri; Abderrahmane Habbal. 27th IFIP Conference on System Modeling and Optimization (CSMO), Jun 2015, Sophia Antipolis, France. Springer International Publishing, IFIP Advances in Information and Communication Technology, AICT-494, pp.322-330, 2016, System Modeling and Optimization. 〈10.1007/978-3-319-55795-3_30〉. 〈hal-01626896〉
