On periodic Steklov type eigenvalue problems on half-bands and the spectral homogenization problem

DOI10.3934/dcdsb.2007.7.859zbMath1141.35330OpenAlexW2328915750MaRDI QIDQ2467585

M. Eugenia Pérez

Publication date: 28 January 2008

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2007.7.859

zbMATH Keywords

homogeneous Dirichlet conditionSteklov condition

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Estimates of eigenvalues in context of PDEs (35P15) Seismology (including tsunami modeling), earthquakes (86A15) Perturbation theory of linear operators (47A55) General theory of partial differential operators (47F05) Linear operators on function spaces (general) (47B38) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

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Homogenization of Winkler-Steklov spectral conditions in three-dimensional linear elasticity ⋮ Asymptotic stability of the spectrum of a parametric family of homogenization problems associated with a perforated waveguide ⋮ Asymptotics of a spectral-sieve problem ⋮ Pointwise fixation along the edge of a Kirchhoff plate ⋮ On multi-scale asymptotic structure of eigenfunctions in a boundary value problem with concentrated masses near the boundary ⋮ On singular perturbations of a Steklov-type problem with asymptotically degenerate spectrum ⋮ Perturbation of the Steklov problem on a small part of the boundary ⋮ Operator estimates for elliptic problem with rapidly alternating Steklov boundary condition ⋮ Long time approximations for solutions of wave equations via standing waves from quasimodes ⋮ Operator estimates for the Steklov problem in an unbounded domain with rapidly changing conditions on the boundary ⋮ On elliptic operators with Steklov condition perturbed by Dirichlet condition on a small part of boundary ⋮ Long time approximations for solutions of wave equations associated with the Steklov spectral homogenization problems ⋮ On the behavior of the spectrum of a perturbed Steklov boundary value problem with a weak singularity ⋮ Estimate of the spectrum deviation of the singularly perturbed Steklov problem

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