Resonance widths for general Helmholtz Resonators with straight neck

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.

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Veröffentlicht in:arXiv.org 2015-04
Hauptverfasser: Duyckaerts, Thomas, Grigis, Alain, Martinez, André
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creator Duyckaerts, Thomas
Grigis, Alain
Martinez, André
description 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.
doi_str_mv 10.48550/arxiv.1504.05425
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subjects Cavity resonators
Eigenvalues
Helmholtz resonators
Lower bounds
Mathematics - Analysis of PDEs
Resonance
title Resonance widths for general Helmholtz Resonators with straight neck
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