On multi-scale asymptotic structure of eigenfunctions in a boundary value problem with concentrated masses near the boundary
type: Item
instance of: scholarly article
title: On multi-scale asymptotic structure of eigenfunctions in a boundary value problem with concentrated masses near the boundary
zbMATH Open document ID: 1382.35025
author: E. Pérez
author: Sergei A. Nazarov
published in: Revista Matemática Complutense
publication date: 2018-02-08T00:00:00Z
full work available at URL: http://hdl.handle.net/10902/11828
Mathematics Subject Classification ID: 35B27
Mathematics Subject Classification ID: 35B25
Mathematics Subject Classification ID: 35P05
Mathematics Subject Classification ID: 35B40
Mathematics Subject Classification ID: 47A75
Mathematics Subject Classification ID: 74H45
Mathematics Subject Classification ID: 35J25
zbMATH DE Number: 6835971
zbMATH Keywords: asymptotic splitting of eigenvalues
zbMATH Keywords: Steklov problem
zbMATH Keywords: corner singularities
zbMATH Keywords: two-term asymptotics
zbMATH Keywords: mixed boundary-value problem
zbMATH Keywords: asymptotic forms of eigenfunctions
MaRDI profile type: Publication
OpenAlex ID: W2752791989
cites work: Flux terms and Robin boundary conditions as limit of reactions and potentials concentrating at the boundary
cites work: Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I
cites work: Q3993197
cites work: Asymptotic expansion of eigenelements of the Laplace operator in a domain with a large number of ‘light’ concentrated masses sparsely situated on the boundary. Two-dimensional case
cites work: Spectral geometry of the Steklov problem (survey article)
cites work: Spectral stiff problems in domains surrounded by thin bands: asymptotic and uniform estimates for eigenvalues
cites work: Asymptotics for the spectrum of the Wentzell problem with a small parameter and other related stiff problems
cites work: Spectral stiff problems in domains surrounded by thin stiff and heavy bands: local effects for eigenfunctions
cites work: Q5589570
cites work: Q4176417
cites work: Neumann to Steklov eigenvalues: asymptotic and monotonicity results
cites work: Eigen-oscillations of contrasting non-homogeneous elastic bodies: asymptotic and uniform estimates for eigenvalues
cites work: ON VIBRATIONS OF A BODY WITH MANY CONCENTRATED MASSES NEAR THE BOUNDARY
cites work: Q4849788
cites work: VIBRATIONS OF A MEMBRANE WITH MANY CONCENTRATED MASSES NEAR THE BOUNDARY
cites work: The skin effect in vibrating systems with many concentrated masses
cites work: Local problems for vibrating systems with concentrated masses: a review
cites work: Long time approximations for solutions of wave equations associated with the Steklov spectral homogenization problems
cites work: VIBRATIONS OF A THICK PERIODIC JUNCTION WITH CONCENTRATED MASSES
cites work: Q5730678
cites work: Asymptotics of the solution of a Dirichlet problem in an angular domain with a periodically changing boundary
cites work: Interaction of concentrated masses in a harmonically oscillating spatial body with Neumann boundary conditions
cites work: Q4812147
cites work: Neumann problem in angular regions with periodic and parabolic perturbations of the boundary
cites work: Asymptotics of the eigenvalues of boundary value problems for the Laplace operator in a three-dimensional domain with a thin closed tube
cites work: Elliptic problems in domains with piecewise smooth boundaries
cites work: A hinged plate equation and iterated Dirichlet Laplace operator on domains with concave corners
cites work: Q4183691
cites work: Homogenization of eigenvalue problems in perforated domains
cites work: Spectral convergence for vibrating systems containing a part with negligible mass
cites work: On periodic Steklov type eigenvalue problems on half-bands and the spectral homogenization problem
cites work: Long time approximations for solutions of wave equations via standing waves from quasimodes
cites work: Boundary-value problems for elliptic equations degenerating on the boundary of a region
cites work: Q3259838
DOI: 10.1007/S13163-017-0243-4
description: scientific article; zbMATH DE number 6835971