On the band gap structure of Hill's equation

DOI10.1016/j.jmaa.2004.12.035zbMath1095.34014OpenAlexW1969092873MaRDI QIDQ2484266

Grégoire Allaire, Rafael Orive-Illera

Publication date: 1 August 2005

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2004.12.035

zbMATH Keywords

instability intervalsBloch spectranonselfadjoint classification

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Sturm-Liouville theory (34B24) Special ordinary differential equations (Mathieu, Hill, Bessel, etc.) (34B30)

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Cites Work

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• The spectrum of Hill's equation
• Theory of Bloch waves
• Homogenization and localization for a 1D eigenvalue problem in a periodic medium with an interface
• The inverse problem for periodic potentials
• Midgap Defect Modes in Dielectric and Acoustic Media
• Quantum mechanics of electrons in crystal lattices
• Homogenization of a neutronic critical diffusion problem with drift
• Guided Waves in a Photonic Bandgap Structure with a Line Defect
• A Special Hill's Equation with Discontinuous Coefficients
• On the determination of a Hill's equation from its spectrum