Spectral stiff problems in domains surrounded by thin stiff and heavy bands: local effects for eigenfunctions

DOI10.3934/nhm.2011.6.1zbMath1259.35147OpenAlexW2024848056MaRDI QIDQ1943843

Delfina Gómez, Sergueï A. Nazarov, M. Eugenia Pérez

Publication date: 21 March 2013

Published in: Networks and Heterogeneous Media (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/nhm.2011.6.1

zbMATH Keywords

asymptotic analysisspectral analysisstiff problemslocalized eigenfunctions

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) General topics in linear spectral theory for PDEs (35P05) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Perturbation theory of linear operators (47A55) Eigenvalue problems for linear operators (47A75) Variational methods for eigenvalues of operators (49R05)

Related Items (8)

Lifespan of effective boundary conditions for the heat equation ⋮ The stiff Neumann problem: Asymptotic specialty and “kissing” domains ⋮ On multi-scale asymptotic structure of eigenfunctions in a boundary value problem with concentrated masses near the boundary ⋮ A Dirichlet Spectral Problem in Domains Surrounded by Thin Stiff and Heavy Bands ⋮ Localization effects for Dirichlet problems in domains surrounded by thin stiff and heavy bands ⋮ Error estimates and lifespan of effective boundary conditions for 2-dimensional optimally aligned coatings ⋮ Localization effect for Dirichlet eigenfunctions in thin non-smooth domains ⋮ Asymptotic analysis of the high frequencies for the Laplace operator in a thin t-like shaped structure

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