Asymptotic formulas for trapped modes and for eigenvalues below the threshold of the continuous spectrum of a waveguide with a thin screening barrier

DOI10.1090/S1061-0022-2012-01209-4zbMath1251.35055OpenAlexW1980994002MaRDI QIDQ2892185

Sergueï A. Nazarov

Publication date: 18 June 2012

Published in: St. Petersburg Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s1061-0022-2012-01209-4

zbMATH Keywords

spectral measuretrapped modesboundary perturbationdiscrete and continuous spectraasymptotic formulas for eigenvalueswaveguide with barrier

Mathematics Subject Classification ID

Asymptotic distributions of eigenvalues in context of PDEs (35P20) Asymptotic expansions of solutions to PDEs (35C20) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Axially symmetric solutions to PDEs (35B07)

Related Items (3)

Bifurcations of essential spectra generated by a small non-Hermitian hole. I: Meromorphic continuations ⋮ Asymptotics of eigenvalues of the Dirichlet problem in a skewed ℐ-shaped waveguide ⋮ Transmission and trapping of waves in an acoustic waveguide with perforated cross-walls

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