Differential equations on Lie groups and tori, the wave equations and Huygens' principle
type: Item
instance of: scholarly article
title: Differential equations on Lie groups and tori, the wave equations and Huygens' principle
zbMATH Open document ID: 0579.22012
DOI: 10.1216/RMJ-1984-14-3-699
published in: Rocky Mountain Journal of Mathematics
publication date: 1984-01-01T00:00:00Z
review text: This note shows how a differential equation on a compact Lie group may be transferred to another equation on the maximal torus. Then the method is applied to wave equations. This makes easy to prove the non-existence of Huyghens' principle for the wave equations and its existence for the shifted Laplacian in odd dimensional spaces.
Mathematics Subject Classification ID: 22E30
Mathematics Subject Classification ID: 35L05
Mathematics Subject Classification ID: 22C05
zbMATH DE Number: 3927252
zbMATH Keywords: differential equation
zbMATH Keywords: compact Lie group
zbMATH Keywords: maximal torus
zbMATH Keywords: wave equations
zbMATH Keywords: Huyghens' principle
zbMATH Keywords: shifted Laplacian
Wikidata QID: Q115240057
author: Howard D. Fegan
reviewed by: Pierre Hillion
MaRDI profile type: Publication
full work available at URL: rmj-1984-14-3-699
OpenAlex ID: W2000192947
description: scientific article; zbMATH DE number 3927252