Gap in the essential spectrum of the Neumann problem for an elliptic system in a periodic domain

DOI10.1007/S10688-009-0031-0zbMath1271.35025OpenAlexW2137709068MaRDI QIDQ366225

Sergueï A. Nazarov

Publication date: 12 September 2013

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10688-009-0031-0

zbMATH Keywords

gap in essential spectrumNeumann problem for elliptic systemperiodic domainquasi-cylinder

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Boundary value problems for second-order elliptic systems (35J57)

Related Items (7)

A note on the spectrum of the Neumann Laplacian in thin periodic waveguides ⋮ Gap opening around a given point of the spectrum of a cylindrical waveguide by means of a gentle periodic perturbation of walls ⋮ Influence of bounded states in the Neumann Laplacian in a thin waveguide ⋮ Spectral gaps in the Dirichlet and Neumann problems on the plane perforated by a doubleperiodic family of circular holes ⋮ Pathology of essential spectra of elliptic problems in periodic family of beads threaded by a spoke thinning at infinity ⋮ On the spectrum of the Laplace operator on the infinite Dirichlet ladder ⋮ Transmission and trapping of waves in an acoustic waveguide with perforated cross-walls

Cites Work

• Gaps in the spectrum of the Maxwell operator with periodic coefficients
• Floquet theory for partial differential equations

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