Homogenization and asymptotics for a membrane with closely spaced clamping points
type: Item
instance of: scholarly article
title: Homogenization and asymptotics for a membrane with closely spaced clamping points
zbMATH Open document ID: 1027.35012
published in: Computational Mathematics and Mathematical Physics
publication date: 2003-06-29T00:00:00Z
review text: A two-dimensional boundary value problem with a frequently varying type of boundary conditions is considered for the Laplace operator. Conditions are presented under which the limit boundary value problem is a Neumann or a mixed problem. The first few terms of the asymptotic representations of the eigenvalues and the corresponding eigenfunctions are constructed in the case of the Neumann limit problem.
Mathematics Subject Classification ID: 35B27
Mathematics Subject Classification ID: 35J25
Mathematics Subject Classification ID: 35C20
Mathematics Subject Classification ID: 35P10
Mathematics Subject Classification ID: 74K15
Mathematics Subject Classification ID: 74H10
Mathematics Subject Classification ID: 74H45
zbMATH DE Number: 1940568
zbMATH Keywords: frequently varying type of boundary conditions
zbMATH Keywords: Laplace operator
zbMATH Keywords: vibrations
zbMATH Keywords: Neumann limit problem
author: R. R. Gadyl'shin
reviewed by: A. Tret'yakov
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1940568