Rate of convergence of eigenvalues to singularly perturbed Steklov-type problem for elasticity system

In the paper, we study the Steklov-type problem for the system of elasticity with rapidly changing boundary condition depending on a small parameter . We construct the homogenized (limit) problem and estimate the rate of convergence of the eigenvalues and eigenfunctions of the initial problem as .

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Bibliographic Details
Published in:Applicable analysis 2019-01, Vol.98 (1-2), p.32-44
Main Authors: Chechkina, Aleksandra G., D'Apice, Ciro, De Maio, Umberto
Format: Article
Language:English
Subjects:
Boundary conditions
Convergence
Economic models
Eigenvalues
Eigenvectors
Elasticity
elasticity system
Homogenization
rapidly changing boundary conditions
Steklov-type problem
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Summary:In the paper, we study the Steklov-type problem for the system of elasticity with rapidly changing boundary condition depending on a small parameter . We construct the homogenized (limit) problem and estimate the rate of convergence of the eigenvalues and eigenfunctions of the initial problem as .
ISSN:0003-6811
1563-504X
DOI:10.1080/00036811.2017.1416104