Opening up and control of spectral gaps of the Laplacian in periodic domains

DOI10.1063/1.4902935zbMath1315.35213arXiv1308.4091OpenAlexW2040846401MaRDI QIDQ2939196

Andrii Khrabustovskyi

Publication date: 19 January 2015

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1308.4091

zbMATH Keywords

asymptoticsspectral gaps

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (6)

An effective Hamiltonian for the eigenvalue asymptotics of the Robin Laplacian with a large parameter ⋮ Spectrum of the Laplacian on a Domain Perturbed by Small Resonators ⋮ Creating and controlling band gaps in periodic media with small resonators ⋮ Gap opening in two-dimensional periodic systems ⋮ An overview of periodic elliptic operators ⋮ Periodic quantum graphs with predefined spectral gaps

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