Eigenvalues of strings and cylinders with variable mass density
type: Item
instance of: scholarly article
title: Eigenvalues of strings and cylinders with variable mass density
zbMATH Open document ID: 0963.58013
author: R. S. Laugesen
published in: Communications in Analysis and Geometry
publication date: 2001-06-12T00:00:00Z
review text: The author proves some sharp inequalities for the frequencies of vibration of strings and cylindrical membranes, under either fixed or fixed-free boundary conditions. He obtains also such inequalities on the generalized cylinder, which is in fact the cross-product of an interval with a homogeneous Riemannian manifold.
reviewed by: Mircea Puta
Mathematics Subject Classification ID: 58J50
Mathematics Subject Classification ID: 74K05
Mathematics Subject Classification ID: 74K15
zbMATH DE Number: 1491337
zbMATH Keywords: eigenvalues
zbMATH Keywords: strings
zbMATH Keywords: generalized cylinder
MaRDI profile type: Publication
full work available at URL: cag.2000.v8.n2.a6
OpenAlex ID: W101100136
DOI: 10.4310/CAG.2000.V8.N2.A6
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description: scientific article; zbMATH DE number 1491337