Sharp modulus of continuity for parabolic equations on manifolds and lower bounds for the first eigenvalue
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Altmetric Citations
Andrews, Benjamin; Clutterbuck, Julie
Description
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.author | Andrews, Benjamin | |
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dc.contributor.author | Clutterbuck, Julie | |
dc.date.accessioned | 2015-12-13T22:32:25Z | |
dc.identifier.issn | 2157-5045 | |
dc.identifier.uri | http://hdl.handle.net/1885/75552 | |
dc.description.abstract | 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.publisher | Mathematical Sciences Publishers | |
dc.rights | Author/s retain copyright | |
dc.source | Analysis and PDE | |
dc.title | Sharp modulus of continuity for parabolic equations on manifolds and lower bounds for the first eigenvalue | |
dc.type | Journal article | |
local.description.notes | Imported from ARIES | |
local.identifier.citationvolume | 6 | |
dc.date.issued | 2013 | |
local.identifier.absfor | 010110 - Partial Differential Equations | |
local.identifier.ariespublication | f5625xPUB4672 | |
local.type.status | Published Version | |
local.contributor.affiliation | Andrews, Benjamin, College of Physical and Mathematical Sciences, ANU | |
local.contributor.affiliation | Clutterbuck, Julie, College of Physical and Mathematical Sciences, ANU | |
local.bibliographicCitation.issue | 5 | |
local.bibliographicCitation.startpage | 1013 | |
local.bibliographicCitation.lastpage | 1024 | |
local.identifier.doi | 10.2140/apde.2013.6.1013 | |
local.identifier.absseo | 970101 - Expanding Knowledge in the Mathematical Sciences | |
dc.date.updated | 2015-12-11T09:07:11Z | |
local.identifier.scopusID | 2-s2.0-84887878098 | |
local.identifier.thomsonID | 000327006500002 | |
dcterms.accessRights | Open Access | |
Collections | ANU Research Publications |
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