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

DOI10.1090/spmj/1641zbMath1455.35252OpenAlexW3120156904MaRDI QIDQ5144093

N. D. Filonov

Publication date: 14 January 2021

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

Full work available at URL: https://doi.org/10.1090/spmj/1641

zbMATH Keywords

absolute continuity of the spectrumMaxwell operatorsimply connected cylinder

Mathematics Subject Classification ID

Completeness of eigenfunctions and eigenfunction expansions in context of PDEs (35P10) Maxwell equations (35Q61)

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The Maxwell system in nonhomogeneous anisotropic waveguides with slowly stabilizing characteristics of the filling medium

Cites Work

• Some inequalities between Dirichlet and Neumann eigenvalues
• The Mourre theory for analytically fibered operators
• An overview of periodic elliptic operators
• Absolute continuity of the “even" periodic Schrödinger operator with nonsmooth coefficients
• Absolute continuity of the Schrödinger operator spectrum in a multidimensional cylinder
• The Maxwell operator with periodic coefficients in a cylinder
• On an inequality between Dirichlet and Neumann eigenvalues for the Laplace operator
• Maxwell operator in a cylinder with coefficients that do not depend on the longitudinal variable
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