We prove an optimal exponential lower bound on the width of the resonance associated to the first eigenvalue of the cavity for a general Helmholtz resonator with straight neck, in any dimension.
Resonance widths for general Helmholtz resonators with straight neck / Duyckaerts, Thomas; Grigis, Alain; Martinez, ANDRE' GEORGES. - In: DUKE MATHEMATICAL JOURNAL. - ISSN 0012-7094. - STAMPA. - 165:14(2016), pp. 2793-2810. [10.1215/00127094-3644795]
Resonance widths for general Helmholtz resonators with straight neck
GRIGIS, ALAIN;MARTINEZ, ANDRE' GEORGES
2016
Abstract
We prove an optimal exponential lower bound on the width of the resonance associated to the first eigenvalue of the cavity for a general Helmholtz resonator with straight neck, in any dimension.File in questo prodotto:
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