A remark on the semiclassical Fefferman-Phong inequality for certain systems of PDEs
type: Item
instance of: scholarly article
title: A remark on the semiclassical Fefferman-Phong inequality for certain systems of PDEs
zbMATH Open document ID: 1194.35527
DOI: 10.4171/RLM/530
author: Alberto Parmeggiani
published in: Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
publication date: 2010-09-19T00:00:00Z
full work available at URL: http://www.ems-ph.org/journals/show_abstract.php
review text: Summary: We give here an extension of the semiclassical version of the Fefferman-Phong inequality to certain \(N\times N\) systems of PDEs. In addition, we give an example of system for which the semiclassical Fefferman-Phong inequality cannot hold.
Mathematics Subject Classification ID: 35S05
Mathematics Subject Classification ID: 26D15
Mathematics Subject Classification ID: 35A30
Mathematics Subject Classification ID: 35B45
Mathematics Subject Classification ID: 47G30
zbMATH DE Number: 5787948
zbMATH Keywords: lower bounds
zbMATH Keywords: systems of partial differential operators
zbMATH Keywords: fefferman-phong inequality
zbMATH Keywords: semiclassical analysis
MaRDI profile type: Publication
cites work: Q3596057
cites work: On positivity of certain systems of partial differential equations
cites work: Semi-boundedness of systems of differential operators
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description: scientific article; zbMATH DE number 5787948