Gaps in the spectrum of a waveguide composed of domains with different limiting dimensions

DOI10.1134/S0037446615040023zbMath1327.35262OpenAlexW2192477617MaRDI QIDQ748466

Sergueï A. Nazarov, Fedor L. Bakharev

Publication date: 29 October 2015

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0037446615040023

zbMATH Keywords

asymptoticsHelmholtz equationNeumann problemspectral gapsperiodic waveguide

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (10)

Spectral gaps in a double-periodic perforated Neumann waveguide ⋮ Spectrum of a singularly perturbed periodic thin waveguide ⋮ Acoustic passive cloaking using thin outer resonators ⋮ Bands in the spectrum of a periodic elastic waveguide ⋮ Perfect transmission invisibility for waveguides with sound hard walls ⋮ Abnormal transmission of elastic waves through a thin ligament connecting two planar isotropic waveguides ⋮ Remark on justification of asymptotics of spectra of cylindrical waveguides with periodic singular perturbations of boundary and coefficients ⋮ Open waveguides in doubly periodic junctions of domains with different limit dimensions ⋮ The spectrum, radiation conditions and the Fredholm property for the Dirichlet Laplacian in a perforated plane with semi-infinite inclusions ⋮ Anomalies of acoustic wave propagation in two semi-infinite cylinders connected by a flattened ligament

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