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Gradient and oscillation estimates and their applications in geometric PDE

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Andrews, Benjamin

Description

We describe some recent �oscillation� estimates in geometric PDE, where estimates are produced using the maximum principle applied to functions depending on several points. Applications include sharp short-time regularity results, sharp long-time behaviour which related closely to optimal estimates on eigenvalues, and elegant proofs of several key results on geometric evolution equations.

dc.contributor.authorAndrews, Benjamin
dc.coverage.spatialBerlin Germany
dc.date.accessioned2015-12-07T22:16:38Z
dc.date.createdApril 13-15 2012
dc.identifier.isbn0821875558
dc.identifier.urihttp://hdl.handle.net/1885/18114
dc.description.abstractWe describe some recent �oscillation� estimates in geometric PDE, where estimates are produced using the maximum principle applied to functions depending on several points. Applications include sharp short-time regularity results, sharp long-time behaviour which related closely to optimal estimates on eigenvalues, and elegant proofs of several key results on geometric evolution equations.
dc.publisherAmerican Mathematical Society
dc.relation.ispartofseriesInternational Congress of Chinese Mathematicians (ICCM 2012)
dc.sourceProceedings of International Congress of Chinese Mathematicians 2012
dc.source.urihttp://www.ams.org/bookstore-getitem/item=amsip-51
dc.titleGradient and oscillation estimates and their applications in geometric PDE
dc.typeConference paper
local.description.notesImported from ARIES
local.description.refereedYes
dc.date.issued2012
local.identifier.absfor010102 - Algebraic and Differential Geometry
local.identifier.ariespublicationu4743872xPUB3
local.type.statusPublished Version
local.contributor.affiliationAndrews, Benjamin, College of Physical and Mathematical Sciences, ANU
local.description.embargo2037-12-31
local.bibliographicCitation.startpage3
local.bibliographicCitation.lastpage19
local.identifier.absseo970101 - Expanding Knowledge in the Mathematical Sciences
dc.date.updated2021-08-01T08:37:24Z
CollectionsANU Research Publications

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