Cultural advice

The Australian National University acknowledges, celebrates and pays our respects to the Ngunnawal and Ngambri people of the Canberra region and to all First Nations Australians on whose traditional lands we meet and work, and whose cultures are among the oldest continuing cultures in human history.

Aboriginal and Torres Strait Islander peoples are advised that ANU Library collections may include images, names, voices, and other representations of deceased persons.

Material in the collection may contain terms, language or views that reflect the period in which the item was created and may be considered inappropriate today.

Finite propagation speed for first order systems and Huygens’ principle for hyperbolic equations

Simple item page
dc.contributor.authorMcIntosh, Alan
dc.contributor.authorMorris, Andrew J.
dc.date.accessioned2016-03-11T05:08:12Z
dc.date.available2016-03-11T05:08:12Z
dc.date.issued2013
dc.date.updated2016-06-14T08:36:18Z
dc.description.abstractWe prove that strongly continuous groups generated by first order systems on Riemannian manifolds have finite propagation speed. Our procedure provides a new direct proof for self-adjoint systems and allows an extension to operators on metric measure spaces. As an application, we present a new approach to the weak Huygens’ principle for second order hyperbolic equations.
dc.identifier.issn0002-9939en_AU
dc.identifier.urihttp://hdl.handle.net/1885/100231
dc.publisherAmerican Mathematical Society
dc.rights© 2013 American Mathematical Society
dc.sourceProceedings of the American Mathematical Society
dc.subjectFinite propagation speed
dc.subjectfirst order systems
dc.subjectC₀ groups
dc.subjectHuygens' principle
dc.subjecthyperbolic equations
dc.titleFinite propagation speed for first order systems and Huygens’ principle for hyperbolic equations
dc.typeJournal article
local.bibliographicCitation.issue10en_AU
local.bibliographicCitation.lastpage3527en_AU
local.bibliographicCitation.startpage3515en_AU
local.contributor.affiliationMcIntosh, Alan, College of Physical and Mathematical Sciences, CPMS Mathematical Sciences Institute, Centre for Mathematics and Its Applications, The Australian National Universityen_AU
local.contributor.affiliationMorris, Andrew J, University of Missouri, United States of Americaen_AU
local.contributor.authoruidu9311073en_AU
local.description.notesImported from ARIESen_AU
local.identifier.absfor010110en_AU
local.identifier.absfor010108en_AU
local.identifier.ariespublicationf5625xPUB3696en_AU
local.identifier.citationvolume141en_AU
local.identifier.doi10.1090/S0002-9939-2013-11661-8en_AU
local.identifier.scopusID2-s2.0-84880728030
local.publisher.urlhttp://www.ams.org/journals/en_AU
local.type.statusPublished Versionen_AU

Downloads

License bundle

Now showing 1 - 1 of 1
Thumbnail Image
Name:
license.txt
Size:
884 B
Format:
Item-specific license agreed upon to submission
Description:
Download

Collections

ANU Research Publications

DSpace software copyright © 2002-2026 LYRASIS