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Observability of a Ring Shaped Membrane via Fourier Series
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.
Cited literature [5 references]
https://hal.inria.fr/hal-01626896
Contributor : Hal Ifip <>
Submitted on : Tuesday, October 31, 2017 - 2:40:36 PM
Last modification on : Friday, June 19, 2020 - 9:22:05 AM
Document(s) archivé(s) le : Thursday, February 1, 2018 - 1:34:13 PM
Contributor : Hal Ifip <>
Submitted on : Tuesday, October 31, 2017 - 2:40:36 PM
Last modification on : Friday, June 19, 2020 - 9:22:05 AM
Document(s) archivé(s) le : Thursday, February 1, 2018 - 1:34:13 PM
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447583_1_En_30_Chapter.pdf
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Distributed under a Creative Commons Attribution 4.0 International License