About: Bounds for the first Dirichlet eigenvalue of triangles and quadrilaterals

Documentation

scienceplus.abes.fr version Bêta

scienceplus.abes.fr | explorer

À propos de : Bounds for the first Dirichlet eigenvalue of triangles and quadrilaterals Goto Sponge NotDistinct Permalink

Attributs	Valeurs
type	work Article
Is Part Of	http://hub.abes.fr/edp/periodical/cocv/2009/volume_16/issue_3/w
Subject	variational bounds Laplacian operator, reduced wave equation (Helmholtz equation), Poisson equation Estimation of eigenvalues, upper and lower bounds Dirichlet eigenvalues polygons
Title	Bounds for the first Dirichlet eigenvalue of triangles and quadrilaterals
Date	2009-01-01(xsd:dateTime)
has manifestation of work	http://hub.abes.fr/edp/periodical/cocv/2009/volume_16/issue_3/cocv0880/m/print http://hub.abes.fr/edp/periodical/cocv/2009/volume_16/issue_3/cocv0880/m/web
related by	http://hub.abes.fr/edp/periodical/cocv/2009/volume_16/issue_3/cocv0880/authorship/2 http://hub.abes.fr/edp/periodical/cocv/2009/volume_16/issue_3/cocv0880/authorship/1
Author	Freitas Pedro Siudeja, Batłomiej
Abstract	We prove some new upper and lower bounds for the first Dirichlet eigenvalue of triangles and quadrilaterals. In particular, we improve Pólya and Szegö's [ Annals of Mathematical Studies 27 (1951)] lower bound for quadrilaterals and extend Hersch's [ Z. Angew. Math. Phys. 17 (1966) 457-460] upper bound for parallelograms to general quadrilaterals.
article type	research-article
publisher identifier	cocv0880
Date Copyrighted	2009-01-01(xsd:dateTime)
Rights	© EDP Sciences, SMAI, 2009
Rights Holder	EDP Sciences, SMAI
is part of this journal	ESAIM: Control, Optimisation and Calculus of Variations
is primary topic of	http://hub.abes.fr/edp/periodical/cocv/2009/volume_16/issue_3/cocv0880/w/record

Alternative Linked Data Documents: ODE Content Formats:

RDF

ODATA

Microdata