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On Short Time Existence of Lagrangian Mean Curvature Flow

dc.creatorBegley, Tom
dc.creatorMoore, Kim
dc.date.accessioned2018-11-24T23:26:45Z
dc.date.available2016-05-04T10:46:32Z
dc.date.available2018-11-24T23:26:45Z
dc.date.issued2016
dc.identifierhttps://www.repository.cam.ac.uk/handle/1810/255857
dc.identifier.urihttp://repository.aust.edu.ng/xmlui/handle/123456789/3879
dc.description.abstractWe consider a short time existence problem motivated by a conjecture of Joyce in [8]. Specifically we prove that given any compact Lagrangian L ⊂ C^n with a finite number of singularities, each asymptotic to a pair of nonarea-minimising, transversally intersecting Lagrangian planes, there is a smooth Lagrangian mean curvature flow existing for some positive time, that attains L as t ↘ 0 as varifolds, and smoothly locally away from the singularities.
dc.languageen
dc.publisherSpringer
dc.publisherMathematische Annalen
dc.rightshttp://creativecommons.org/licenses/by/4.0/
dc.rightsAttribution 4.0 International
dc.titleOn Short Time Existence of Lagrangian Mean Curvature Flow
dc.typeArticle


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