Optimal lower bound of the resonance widths for the Helmholtz Resonator
Analysis of PDEs
2015-02-10 v2
Abstract
Under a geometric assumption on the region near the end of its neck, we prove an optimal exponential lower bound on the widths of resonances for a general two-dimensional Helmholtz resonator. An extension of the result to the n-dimensional case, n smaller than 12, is also obtained.
Keywords
Cite
@article{arxiv.1402.6493,
title = {Optimal lower bound of the resonance widths for the Helmholtz Resonator},
author = {Martinez André and Nédélec Laurence},
journal= {arXiv preprint arXiv:1402.6493},
year = {2015}
}
Comments
25 pages, 2 figures