Asymptotics of eigenfrequencies that arise in gaps caused by a perturbation of a periodic waveguide

DOI10.1134/S1064562412060221zbMath1398.35039OpenAlexW2012650183MaRDI QIDQ1945190

Sergueï A. Nazarov

Publication date: 3 April 2013

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562412060221

zbMATH Keywords

asymptotic methodsspectral gapsFloquet wavesslightly curved strip waveguide

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Singular perturbations in context of PDEs (35B25) General topics in linear spectral theory for PDEs (35P05) Asymptotic expansions of solutions to PDEs (35C20) Motion of charged particles (78A35)

Related Items (1)

Perturbation of threshold of essential spectrum for waveguides with windows. II: Asymptotics

Cites Work

• Unnamed Item
• Opening of a gap in the continuous spectrum of a periodically perturbed waveguide
• Variational and asymptotic methods for finding eigenvalues below the continuous spectrum threshold
• Local perturbations of quantum waveguides
• Elliptic problems in domains with piecewise smooth boundaries
• Weakly coupled bound states in quantum waveguides
• Floquet theory for partial differential equations

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