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Sharp modulus of continuity for parabolic equations on manifolds and lower bounds for the first eigenvalue

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Andrews, Benjamin; Clutterbuck, Julie

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We derive sharp estimates on the modulus of continuity for solutions of the heat equation on a compact Riemannian manifold with a Ricci curvature bound, in terms of initial oscillation and elapsed time. As an application, we give an easy proof of the opti

dc.contributor.authorAndrews, Benjamin
dc.contributor.authorClutterbuck, Julie
dc.date.accessioned2015-12-13T22:32:25Z
dc.identifier.issn2157-5045
dc.identifier.urihttp://hdl.handle.net/1885/75552
dc.description.abstractWe derive sharp estimates on the modulus of continuity for solutions of the heat equation on a compact Riemannian manifold with a Ricci curvature bound, in terms of initial oscillation and elapsed time. As an application, we give an easy proof of the opti
dc.publisherMathematical Sciences Publishers
dc.rightsAuthor/s retain copyright
dc.sourceAnalysis and PDE
dc.titleSharp modulus of continuity for parabolic equations on manifolds and lower bounds for the first eigenvalue
dc.typeJournal article
local.description.notesImported from ARIES
local.identifier.citationvolume6
dc.date.issued2013
local.identifier.absfor010110 - Partial Differential Equations
local.identifier.ariespublicationf5625xPUB4672
local.type.statusPublished Version
local.contributor.affiliationAndrews, Benjamin, College of Physical and Mathematical Sciences, ANU
local.contributor.affiliationClutterbuck, Julie, College of Physical and Mathematical Sciences, ANU
local.bibliographicCitation.issue5
local.bibliographicCitation.startpage1013
local.bibliographicCitation.lastpage1024
local.identifier.doi10.2140/apde.2013.6.1013
local.identifier.absseo970101 - Expanding Knowledge in the Mathematical Sciences
dc.date.updated2015-12-11T09:07:11Z
local.identifier.scopusID2-s2.0-84887878098
local.identifier.thomsonID000327006500002
dcterms.accessRightsOpen Access
CollectionsANU Research Publications

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