Singular perturbation Dirichlet problem in a double-periodic perforated plane

DOI10.1007/s11565-014-0222-3zbMath1328.35125OpenAlexW2053050919MaRDI QIDQ895813

Jari Taskinen, Francesco Ferraresso

Publication date: 7 December 2015

Published in: Annali dell'Università di Ferrara. Sezione VII. Scienze Matematiche (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11565-014-0222-3

zbMATH Keywords

spectrumspectral gapperiodic domaincuspidal domainLaplace-Dirichlet problem

Mathematics Subject Classification ID

Completeness of eigenfunctions and eigenfunction expansions in context of PDEs (35P10) Spectrum, resolvent (47A10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (4)

On the eigenvalues of the biharmonic operator with Neumann boundary conditions on a thin set ⋮ 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

Cites Work

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• ON THE ASYMPTOTIC BEHAVIOR OF SOLUTIONS OF DIFFERENTIAL EQUATIONS IN HILBERT SPACE
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