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dc.contributor.authorJulin, Vesa
dc.contributor.authorNiinikoski, Joonas
dc.date.accessioned2021-08-18T06:23:38Z
dc.date.available2021-08-18T06:23:38Z
dc.date.issued2021
dc.identifier.citationJulin, V., & Niinikoski, J. (2021). Stationary sets of the mean curvature flow with a forcing term. <i>Advances in Calculus of Variations</i>, <i>Ahead of Print</i>. <a href="https://doi.org/10.1515/acv-2021-0019" target="_blank">https://doi.org/10.1515/acv-2021-0019</a>
dc.identifier.otherCONVID_99233805
dc.identifier.urihttps://jyx.jyu.fi/handle/123456789/77405
dc.description.abstractWe consider the flat flow solution to the mean curvature equation with forcing in ℝn. Our main resultstates that tangential balls in ℝn under a flat flow with a bounded forcing term will experience fattening, which generalizes the result in [N. Fusco, V. Julin and M. Morini, Stationary sets and asymptotic behavior ofthe mean curvature flow with forcing in the plane, preprint (2020), https://arxiv.org/abs/2004.07734] from the planar case to higher dimensions. Then, as in the planar case, we characterize stationary sets in ℝn for a constant forcing term as finite unions of equisize balls with mutually positive distance.en
dc.format.mimetypeapplication/pdf
dc.language.isoeng
dc.publisherWalter de Gruyter GmbH
dc.relation.ispartofseriesAdvances in Calculus of Variations
dc.rightsIn Copyright
dc.subject.otherforced mean curvature flow
dc.subject.otherstationary sets
dc.subject.othercritical sets
dc.titleStationary sets of the mean curvature flow with a forcing term
dc.typearticle
dc.identifier.urnURN:NBN:fi:jyu-202108184568
dc.contributor.laitosMatematiikan ja tilastotieteen laitosfi
dc.contributor.laitosDepartment of Mathematics and Statisticsen
dc.contributor.oppiaineMatematiikkafi
dc.contributor.oppiaineAnalyysin ja dynamiikan tutkimuksen huippuyksikköfi
dc.contributor.oppiaineMathematicsen
dc.contributor.oppiaineAnalysis and Dynamics Research (Centre of Excellence)en
dc.type.urihttp://purl.org/eprint/type/JournalArticle
dc.description.reviewstatuspeerReviewed
dc.relation.issn1864-8258
dc.relation.volumeAhead of Print
dc.type.versionacceptedVersion
dc.rights.copyright© 2021 Walter de Gruyter GmbH
dc.rights.accesslevelopenAccessfi
dc.subject.ysoosittaisdifferentiaaliyhtälöt
dc.subject.ysovariaatiolaskenta
dc.format.contentfulltext
jyx.subject.urihttp://www.yso.fi/onto/yso/p12392
jyx.subject.urihttp://www.yso.fi/onto/yso/p11197
dc.rights.urlhttp://rightsstatements.org/page/InC/1.0/?language=en
dc.relation.doi10.1515/acv-2021-0019


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