Spectral gaps in the Dirichlet and Neumann problems on the plane perforated by a doubleperiodic family of circular holes

DOI10.1007/s10958-012-0681-yzbMath1254.35162OpenAlexW2049187968MaRDI QIDQ1762520

Jari Taskinen, Sergueï A. Nazarov, Keijo Matti Ruotsalainen

Publication date: 27 November 2012

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-012-0681-y

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) PDEs with low regular coefficients and/or low regular data (35R05) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

Related Items (11)

Creation of spectral bands for a periodic domain with small windows ⋮ Opening up and control of spectral gaps of the Laplacian in periodic domains ⋮ Singularities at the contact point of two kissing Neumann balls ⋮ Singular perturbation Dirichlet problem in a double-periodic perforated plane ⋮ Creating and controlling band gaps in periodic media with small resonators ⋮ Gaps in the spectrum of two-dimensional square packing of stiff disks ⋮ The functional analytic approach for quasi-periodic boundary value problems for the Helmholtz equation ⋮ Spectral gaps in the Dirichlet problem for the biharmonic operator on a plane periodically perforated by circular holes ⋮ The spectrum, radiation conditions and the Fredholm property for the Dirichlet Laplacian in a perforated plane with semi-infinite inclusions ⋮ On the band spectrum of a Schrödinger operator in a periodic system of domains coupled by small windows ⋮ Gaps in the spectrum of the Neumann Laplacian generated by a system of periodically distributed traps

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