A model of a boundary composed of the Helmholtz resonators

DOI10.1080/17476933.2020.1751138OpenAlexW3019959839MaRDI QIDQ5156147

A. I. Popov, Irina V. Blinova, Igor Yu. Popov

Publication date: 14 October 2021

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476933.2020.1751138

zbMATH Keywords

spectrumHelmholtz resonatorself-adjoint extension

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Linear symmetric and selfadjoint operators (unbounded) (47B25)

Cites Work

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• On boundary value problem with singular inhomogeneity concentrated on the boundary
• Elliptic boundary value problems with \(\lambda \)-dependent boundary conditions
• Non-homogeneous media and vibration theory
• Eigenvalue problems for nonsmoothly perturbed domains
• The essential spectrum of Neumann Laplacians on some bounded singular domains
• Eigenvalues and bands imbedded in the continuous spectrum for a system of resonators and a waveguide: Solvable model
• Neumann spectral problem in a domain with very corrugated boundary
• A gap in the essential spectrum of a cylindrical waveguide with a periodic aperturbation of the surface
• Quantum waveguides with small periodic perturbations: gaps and edges of Brillouin zones
• Spectral problem for solvable model of bent nano peapod
• The theory of extensions and explicitly-soluble models
• The resonator with narrow slit and the model based on the operator extensions theory
• Hydrotron: Creep and slip

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