Excited resonance widths for Helmholtz resonators with straight neck
Analysis of PDEs
2017-09-05 v1
Abstract
We consider resonances associated with excited eigenvalues of the cavity of a general Helmholtz resonator with straight neck. Under the assumption that the neck stays away from the nodal set of the corresponding eigenstate, we generalise the optimal exponential lower bound on the width of the resonance, that we have obtained in a previous paper for the ground resonance only.
Keywords
Cite
@article{arxiv.1709.00894,
title = {Excited resonance widths for Helmholtz resonators with straight neck},
author = {Thomas Duyckaerts and Alain Grigis and André Martinez},
journal= {arXiv preprint arXiv:1709.00894},
year = {2017}
}
Comments
16 pages, 1 figure