About: A lower bound on local energy of partial sum of eigenfunctions for Laplace-Beltrami operators

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Attributs	Valeurs
type	work Article
Is Part Of	http://hub.abes.fr/edp/periodical/cocv/2012/volume_19/issue_1/w
Subject	local energy partial sum of eigenfunctions Lower bound Observability Laplace-Beltrami operator Robin boundary condition
Title	A lower bound on local energy of partial sum of eigenfunctions for Laplace-Beltrami operators
Date	2012-01-01(xsd:dateTime)
has manifestation of work	http://hub.abes.fr/edp/periodical/cocv/2012/volume_19/issue_1/cocv120008/m/print http://hub.abes.fr/edp/periodical/cocv/2012/volume_19/issue_1/cocv120008/m/web
related by	http://hub.abes.fr/edp/periodical/cocv/2012/volume_19/issue_1/cocv120008/authorship/1
Author	Lü, Qi
Abstract	In this paper, a lower bound is established for the local energy of partial sum of eigenfunctions for Laplace-Beltrami operators (in Riemannian manifolds with low regularity data) with general boundary condition. This result is a consequence of a new pointwise and weighted estimate for Laplace-Beltrami operators, a construction of some nonnegative function with arbitrary given critical point location in the manifold, and also two interpolation results for solutions of elliptic equations with lateral Robin boundary conditions.
article type	research-article
publisher identifier	cocv120008
Date Copyrighted	2012-01-01(xsd:dateTime)
Rights	© EDP Sciences, SMAI, 2012
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/2012/volume_19/issue_1/cocv120008/w/record

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