We investigate the simultaneous observability of infinite systems of vibrating strings or beams having a common endpoint where the observation is taking place. Our results are new even for finite systems because we allow the vibrations to take place in independent directions. Our main tool is a vectorial generalization of some classical theorems of Ingham, Beurling and Kahane in nonharmonic analysis.
Simultaneous observability of infinitely many strings and beams / Komornik, V; Lai, Ac; Loreti, P. - In: NETWORKS AND HETEROGENEOUS MEDIA. - ISSN 1556-1801. - 15:4(2020), pp. 633-652. [10.3934/nhm.2020017]
Simultaneous observability of infinitely many strings and beams
Komornik, V;Lai, AC;Loreti, P
2020
Abstract
We investigate the simultaneous observability of infinite systems of vibrating strings or beams having a common endpoint where the observation is taking place. Our results are new even for finite systems because we allow the vibrations to take place in independent directions. Our main tool is a vectorial generalization of some classical theorems of Ingham, Beurling and Kahane in nonharmonic analysis.File allegati a questo prodotto
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