The band-gap structure of the spectrum in a periodic medium of masonry type

DOI10.3934/nhm.2020014zbMath1454.35130OpenAlexW3043127748MaRDI QIDQ828474

Jari Taskinen, Günter R. Leugering, Sergueï A. Nazarov

Publication date: 8 January 2021

Published in: Networks and Heterogeneous Media (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/nhm.2020014

zbMATH Keywords

essential spectrumspectral gapperiodic mediumsecond order elliptic systemband-gap spectrum

Mathematics Subject Classification ID

Spectral theory and eigenvalue problems for partial differential equations (35P99) Linear symmetric and selfadjoint operators (unbounded) (47B25) Boundary value problems for second-order elliptic systems (35J57)

Related Items (1)

On the limit spectrum of a degenerate operator in the framework of periodic homogenization or singular perturbation problems

Cites Work

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• Gap in the essential spectrum of an elliptic formally self-adjoint system of differential equations
• Artificial boundary conditions on polyhedral truncation surfaces for three-dimensional elasticity systems
• Spectral gaps for periodic piezoelectric waveguides
• Spectral properties of the operator bundles generated by elliptic boundary-value problems in a cone
• Elliptic problems in domains with piecewise smooth boundaries
• Effects of Rayleigh waves on the essential spectrum in perturbed doubly periodic elliptic problems
• Bands in the spectrum of a periodic elastic waveguide
• On spectrum gaps of some divergent elliptic operators with periodic coefficients
• Dirichlet problem in an angular domain with rapidly oscillating boundary: Modeling of the problem and asymptotics of the solution
• Neumann problem in angular regions with periodic and parabolic perturbations of the boundary
• [Russian Text Ignored.]
• [Russian Text Ignored]
• The polynomial property of self-adjoint elliptic boundary-value problems and an algebraic description of their attributes
• Spectral properties of periodic media in the large coupling limit
• Essential spectrum of a periodic elastic waveguide may contain arbitrarily many gaps
• Eigenfunctions of the 2‐dimensional anisotropic elasticity operator and algebraic equivalent materials
• Floquet theory for partial differential equations
• Floquet theory for partial differential equations

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