Continuous variation of eigenvalues and Gårding's inequality
type: Item
instance of: scholarly article
title: Continuous variation of eigenvalues and Gårding's inequality
zbMATH Open document ID: 0931.58017
DOI: 10.1016/S0926-2245(99)00009-1
author: Jeonghyeong Park
published in: Differential Geometry and its Applications
publication date: 1999-09-02T00:00:00Z
review text: Let \(D_t\) be a smooth 1-parameter family of elliptic selfadjoint partial differential operators on a compact manifold without boundary. We use Gårding's inequality to give a simple proof that the \(k\)th eigenvalue of \(D_t\) is continuous in \(t\).
Mathematics Subject Classification ID: 58J50
zbMATH DE Number: 1308148
zbMATH Keywords: variation of eigenvalues
zbMATH Keywords: Rayleigh-Ritz quotient
zbMATH Keywords: Gärding inequality
Wikidata QID: Q115337430
MaRDI profile type: Publication
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full work available at URL: s0926-2245(99)00009-1
OpenAlex ID: W2031295553
description: scientific article; zbMATH DE number 1308148