Gaps in the spectrum of the Neumann Laplacian generated by a system of periodically distributed traps

DOI10.1002/mma.3046zbMath1319.35118arXiv1301.2926OpenAlexW3105170181MaRDI QIDQ5257900

Andrii Khrabustovskyi, Evgenii Khruslov

Publication date: 24 June 2015

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1301.2926

zbMATH Keywords

spectral gapperiodic domainNeumann Laplacian

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Eigenvalue problems for linear operators (47A75) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Waves and radiation in optics and electromagnetic theory (78A40) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

Related Items (5)

Opening up and control of spectral gaps of the Laplacian in periodic domains ⋮ Spectrum of the Laplacian on a Domain Perturbed by Small Resonators ⋮ Creating and controlling band gaps in periodic media with small resonators ⋮ An overview of periodic elliptic operators ⋮ Gaps in the spectrum of a waveguide composed of domains with different limiting dimensions

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