Asymptotics of eigenvalues in spectral gaps under regular perturbations of walls of a periodic waveguide

DOI10.1007/s10958-017-3542-xzbMath1439.35145OpenAlexW2754621415MaRDI QIDQ1688473

Sergueï A. Nazarov

Publication date: 8 January 2018

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-017-3542-x

zbMATH Keywords

periodic waveguideemerging eigenvaluesintrernal gaps

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) Estimates of eigenvalues in context of PDEs (35P15) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Groups and algebras in quantum theory and relations with integrable systems (81R12) Bifurcations in context of PDEs (35B32)

Related Items

Essential spectrum of a periodic waveguide with non-periodic perturbation, Asymptotics of eigenvalues in spectral gaps of periodic waveguides with small singular perturbations

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