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dc.contributor.authorJulin, Vesa
dc.contributor.authorLa Manna, Domenico Angelo
dc.date.accessioned2020-08-24T07:38:26Z
dc.date.available2020-08-24T07:38:26Z
dc.date.issued2020
dc.identifier.citationJulin, V., & La Manna, D. A. (2020). Short time existence of the classical solution to the fractional mean curvature flow. <i>Annales de l’Institut Henri Poincaré : Analyse Non Linéaire</i>, <i>37</i>(4), 983-1016. <a href="https://doi.org/10.1016/j.anihpc.2020.02.007" target="_blank">https://doi.org/10.1016/j.anihpc.2020.02.007</a>
dc.identifier.otherCONVID_41784402
dc.identifier.urihttps://jyx.jyu.fi/handle/123456789/71497
dc.description.abstractWe establish short-time existence of the smooth solution to the fractional mean curvature flow when the initial set is bounded and C1,1-regular. We provide the same result also for the volume preserving fractional mean curvature flow.en
dc.format.mimetypeapplication/pdf
dc.languageeng
dc.language.isoeng
dc.publisherElsevier
dc.relation.ispartofseriesAnnales de l’Institut Henri Poincaré : Analyse Non Linéaire
dc.rightsCC BY-NC-ND 4.0
dc.subject.otherfractional mean curvature flow
dc.subject.othershort time existence
dc.subject.otherclassical solution
dc.subject.otherfractional perimeter
dc.titleShort time existence of the classical solution to the fractional mean curvature flow
dc.typearticle
dc.identifier.urnURN:NBN:fi:jyu-202008245633
dc.contributor.laitosMatematiikan ja tilastotieteen laitosfi
dc.contributor.laitosDepartment of Mathematics and Statisticsen
dc.contributor.oppiaineAnalyysin ja dynamiikan tutkimuksen huippuyksikköfi
dc.contributor.oppiaineMatematiikkafi
dc.contributor.oppiaineAnalysis and Dynamics Research (Centre of Excellence)en
dc.contributor.oppiaineMathematicsen
dc.type.urihttp://purl.org/eprint/type/JournalArticle
dc.type.coarhttp://purl.org/coar/resource_type/c_2df8fbb1
dc.description.reviewstatuspeerReviewed
dc.format.pagerange983-1016
dc.relation.issn0294-1449
dc.relation.numberinseries4
dc.relation.volume37
dc.type.versionacceptedVersion
dc.rights.copyright© 2020 Elsevier
dc.rights.accesslevelopenAccessfi
dc.relation.grantnumber314227
dc.subject.ysoosittaisdifferentiaaliyhtälöt
dc.subject.ysodifferentiaaligeometria
dc.format.contentfulltext
jyx.subject.urihttp://www.yso.fi/onto/yso/p12392
jyx.subject.urihttp://www.yso.fi/onto/yso/p16682
dc.rights.urlhttps://creativecommons.org/licenses/by-nc-nd/4.0/
dc.relation.doi10.1016/j.anihpc.2020.02.007
dc.relation.funderResearch Council of Finlanden
dc.relation.funderSuomen Akatemiafi
jyx.fundingprogramResearch costs of Academy Research Fellow, AoFen
jyx.fundingprogramAkatemiatutkijan tutkimuskulut, SAfi
jyx.fundinginformationThe first author was supported by the Academy of Finland grant 314227.
dc.type.okmA1


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