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On the interaction of metric trapping and a boundary

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dc.contributor.authorDatchev, Kiril
dc.contributor.authorMetcalfe, Jason
dc.contributor.authorShapiro, Jacob
dc.contributor.authorTohaneanu, Mihai
dc.date.accessioned2023-03-07T03:39:07Z
dc.date.issued2021
dc.date.updated2021-12-26T07:18:52Z
dc.description.abstractBy considering a two ended warped product manifold, we demonstrate a bifurcation that can occur when metric trapping interacts with a boundary. In this highly symmetric example, as the boundary passes through the trapped set, one goes from a nontrapping scenario where lossless local energy estimates are available for the wave equation to the case of stably trapped rays where all but a logarithmic amount of decay is lost.en_AU
dc.description.sponsorshipK. Datchev was supported in part by NSF grant DMS-1708511, J. Shapiro was supported in part by the Australian Research Council through grant DP180100589, and M. Tohaneanu was supported in part by Simons Collaboration Grant 586051.en_AU
dc.format.mimetypeapplication/pdfen_AU
dc.identifier.issn0002-9939en_AU
dc.identifier.urihttp://hdl.handle.net/1885/286686
dc.language.isoen_AUen_AU
dc.publisherAmerican Mathematical Societyen_AU
dc.relationhttp://purl.org/au-research/grants/arc/DP180100589en_AU
dc.rights© 2021 American Mathematical Societyen_AU
dc.sourceProceedings of the American Mathematical Societyen_AU
dc.titleOn the interaction of metric trapping and a boundaryen_AU
dc.typeJournal articleen_AU
local.bibliographicCitation.issue9en_AU
local.bibliographicCitation.lastpage3812en_AU
local.bibliographicCitation.startpage3801en_AU
local.contributor.affiliationDatchev, Kiril, Purdue Universityen_AU
local.contributor.affiliationMetcalfe, Jason, Department of Mathematics, University of North Carolinaen_AU
local.contributor.affiliationShapiro, Jacob, College of Science, ANUen_AU
local.contributor.affiliationTohaneanu, Mihai, Department of Mathematics, University of Kentuckyen_AU
local.contributor.authoruidShapiro, Jacob, u1059474en_AU
local.description.embargo2099-12-31
local.description.notesImported from ARIESen_AU
local.identifier.absfor490410 - Partial differential equationsen_AU
local.identifier.absseo280118 - Expanding knowledge in the mathematical sciencesen_AU
local.identifier.ariespublicationa383154xPUB21550en_AU
local.identifier.citationvolume149en_AU
local.identifier.doi10.1090/proc/15460en_AU
local.identifier.essn1088-6826en_AU
local.identifier.scopusID2-s2.0-85113246093
local.publisher.urlhttps://www.ams.org/en_AU
local.type.statusPublished Versionen_AU

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