dc.contributor.author | Julin, Vesa | |
dc.contributor.author | Niinikoski, Joonas | |
dc.date.accessioned | 2021-08-18T06:23:38Z | |
dc.date.available | 2021-08-18T06:23:38Z | |
dc.date.issued | 2023 | |
dc.identifier.citation | Julin, V., & Niinikoski, J. (2023). Stationary sets of the mean curvature flow with a forcing term. <i>Advances in Calculus of Variations</i>, <i>16</i>(2), 391-402. <a href="https://doi.org/10.1515/acv-2021-0019" target="_blank">https://doi.org/10.1515/acv-2021-0019</a> | |
dc.identifier.other | CONVID_99233805 | |
dc.identifier.uri | https://jyx.jyu.fi/handle/123456789/77405 | |
dc.description.abstract | We 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.mimetype | application/pdf | |
dc.language.iso | eng | |
dc.publisher | Walter de Gruyter GmbH | |
dc.relation.ispartofseries | Advances in Calculus of Variations | |
dc.rights | In Copyright | |
dc.subject.other | forced mean curvature flow | |
dc.subject.other | stationary sets | |
dc.subject.other | critical sets | |
dc.title | Stationary sets of the mean curvature flow with a forcing term | |
dc.type | article | |
dc.identifier.urn | URN:NBN:fi:jyu-202108184568 | |
dc.contributor.laitos | Matematiikan ja tilastotieteen laitos | fi |
dc.contributor.laitos | Department of Mathematics and Statistics | en |
dc.contributor.oppiaine | Matematiikka | fi |
dc.contributor.oppiaine | Analyysin ja dynamiikan tutkimuksen huippuyksikkö | fi |
dc.contributor.oppiaine | Mathematics | en |
dc.contributor.oppiaine | Analysis and Dynamics Research (Centre of Excellence) | en |
dc.type.uri | http://purl.org/eprint/type/JournalArticle | |
dc.type.coar | http://purl.org/coar/resource_type/c_2df8fbb1 | |
dc.description.reviewstatus | peerReviewed | |
dc.format.pagerange | 391-402 | |
dc.relation.issn | 1864-8258 | |
dc.relation.numberinseries | 2 | |
dc.relation.volume | 16 | |
dc.type.version | acceptedVersion | |
dc.rights.copyright | © 2021 Walter de Gruyter GmbH | |
dc.rights.accesslevel | openAccess | fi |
dc.subject.yso | osittaisdifferentiaaliyhtälöt | |
dc.subject.yso | variaatiolaskenta | |
dc.format.content | fulltext | |
jyx.subject.uri | http://www.yso.fi/onto/yso/p12392 | |
jyx.subject.uri | http://www.yso.fi/onto/yso/p11197 | |
dc.rights.url | http://rightsstatements.org/page/InC/1.0/?language=en | |
dc.relation.doi | 10.1515/acv-2021-0019 | |
dc.type.okm | A1 | |