Maxwell operator in a cylinder with coefficients that do not depend on the longitudinal variable

DOI10.1090/spmj/1558zbMath1416.35259OpenAlexW2936232520WikidataQ128058064 ScholiaQ128058064MaRDI QIDQ5743359

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Publication date: 9 May 2019

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

Full work available at URL: https://doi.org/10.1090/spmj/1558

zbMATH Keywords

spectral gapabsolute continuity of the spectrumMaxwell operator in a cylinder

Mathematics Subject Classification ID

Spectral theory and eigenvalue problems for partial differential equations (35P99) Antennas, waveguides in optics and electromagnetic theory (78A50) Maxwell equations (35Q61)

Related Items (1)

Maxwell operator in a cylinder with coefficients that do not depend on the cross-sectional variables

Cites Work

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• Maxwell operator in regions with nonsmooth boundaries
• Some inequalities between Dirichlet and Neumann eigenvalues
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• The absolute continuity of the spectrum of Maxwell operator in a periodic media
• The Maxwell operator with periodic coefficients in a cylinder
• The Maxwell system in waveguides with several cylindrical outlets to infinity and nonhomogeneous anisotropic filling
• On an inequality between Dirichlet and Neumann eigenvalues for the Laplace operator
• The Maxwell system in waveguides with several cylindrical ends
• Weyl asymptotics for the spectrum of the Maxwell operator in Lipschitz domains of arbitrary dimension
• The statement and solubility of boundary-value problems for Maxwell's equations in a cylinder

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