Asymptotic structure of the spectrum in a Dirichlet-strip with double periodic perforations

DOI10.3934/nhm.2019029zbMath1435.35267OpenAlexW2981859708MaRDI QIDQ2303652

M.-E. Pérez-Martínez, Rafael Orive-Illera, Sergueï A. Nazarov

Publication date: 4 March 2020

Published in: Networks and Heterogeneous Media (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/nhm.2019029

zbMATH Keywords

homogenizationperforated mediaDirichlet-Laplace operatorspectral perturbationsdouble periodicityband-gap structure

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) General topics in linear spectral theory for PDEs (35P05) Estimates of eigenvalues in context of PDEs (35P15) Completeness of eigenfunctions and eigenfunction expansions in context of PDEs (35P10) Spectrum, resolvent (47A10) Perturbation theory of linear operators (47A55) Eigenvalue problems for linear operators (47A75) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

Related Items (7)

Spectral gaps in a double-periodic perforated Neumann waveguide ⋮ Asymptotic stability of the spectrum of a parametric family of homogenization problems associated with a perforated waveguide ⋮ Band-gap structure of the spectrum of the water-wave problem in a shallow canal with a periodic family of deep pools ⋮ Pointwise fixation along the edge of a Kirchhoff plate ⋮ Unnamed Item ⋮ On the Polarization Matrix for a Perforated Strip ⋮ Remark on justification of asymptotics of spectra of cylindrical waveguides with periodic singular perturbations of boundary and coefficients

Cites Work

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