Mathematical investigation of periodic acoustical waveguides of an arbitrary shape

DOI10.1016/0022-247X(87)90131-4zbMath0651.35018MaRDI QIDQ1106395

Alexis S. Mahalov

Publication date: 1987

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

spectrumHelmholtz equationGreen functionNeumann problemFloquet typewave number function

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Hydro- and aero-acoustics (76Q05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Antennas, waveguides in optics and electromagnetic theory (78A50)

Cites Work

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• Discreteness of the spectrum of a periodic boundary-value problem related to the radiation of periodic waveguides
• Solution of an ill-posed problem for one class of linear equations with periodic coefficients
• Floquet theory for partial differential equations

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