Optimal lower bound of the resonance widths for the Helmholtz resonator

DOI10.1007/s00023-015-0405-1zbMath1337.35027arXiv1402.6493OpenAlexW1517665566MaRDI QIDQ261970

André Martinez, Laurence Nédélec

Publication date: 29 March 2016

Published in: Annales Henri Poincaré (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1402.6493

zbMATH Keywords

Carleman estimatesHelmholtz resonatorexponential lower boundresonance width

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Hydro- and aero-acoustics (76Q05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Resonance in context of PDEs (35B34)

Related Items (2)

Computing the sound of the sea in a seashell ⋮ Excited resonance widths for Helmholtz resonators with straight neck

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Optimal lower bound of the resonance widths for a Helmholtz tube-shaped resonator
• Width of shape resonances for non globally analytic potentials
• Lower bounds for resonance widths in potential and obstacle scattering
• Functional analysis, Sobolev spaces and partial differential equations
• The mathematical theory of resonances whose widths are exponentially small
• Local energy decay of the wave equation in an exterior problem and without resonance in the neighborhood of the real line
• General lower bounds for resonances in one dimension
• On Carleman estimates for elliptic and parabolic operators. Applications to unique continuation and control of parabolic equations
• Lower bounds for shape resonances widths of long range Schrodinger operators
• Résonances en limite semi-classique
• Complex Scaling and the Distribution of Scattering Poles
• Contróle Exact De Léquation De La Chaleur
• An introduction to semiclassical and microlocal analysis

This page was built for publication: Optimal lower bound of the resonance widths for the Helmholtz resonator