Short time existence of the classical solution to the fractional mean curvature flow
| dc.contributor.author | Julin, Vesa | |
| dc.contributor.author | La Manna, Domenico Angelo | |
| dc.date.accessioned | 2020-08-24T07:38:26Z | |
| dc.date.available | 2020-08-24T07:38:26Z | |
| dc.date.issued | 2020 | |
| dc.identifier.citation | Julin, 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.other | CONVID_41784402 | |
| dc.identifier.uri | https://jyx.jyu.fi/handle/123456789/71497 | |
| dc.description.abstract | We 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.mimetype | application/pdf | |
| dc.language | eng | |
| dc.language.iso | eng | |
| dc.publisher | Elsevier | |
| dc.relation.ispartofseries | Annales de l’Institut Henri Poincaré : Analyse Non Linéaire | |
| dc.rights | CC BY-NC-ND 4.0 | |
| dc.subject.other | fractional mean curvature flow | |
| dc.subject.other | short time existence | |
| dc.subject.other | classical solution | |
| dc.subject.other | fractional perimeter | |
| dc.title | Short time existence of the classical solution to the fractional mean curvature flow | |
| dc.type | research article | |
| dc.identifier.urn | URN:NBN:fi:jyu-202008245633 | |
| dc.contributor.laitos | Matematiikan ja tilastotieteen laitos | fi |
| dc.contributor.laitos | Department of Mathematics and Statistics | en |
| dc.contributor.oppiaine | Analyysin ja dynamiikan tutkimuksen huippuyksikkö | fi |
| dc.contributor.oppiaine | Matematiikka | fi |
| dc.contributor.oppiaine | Analysis and Dynamics Research (Centre of Excellence) | en |
| dc.contributor.oppiaine | Mathematics | 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 | 983-1016 | |
| dc.relation.issn | 0294-1449 | |
| dc.relation.numberinseries | 4 | |
| dc.relation.volume | 37 | |
| dc.type.version | acceptedVersion | |
| dc.rights.copyright | © 2020 Elsevier | |
| dc.rights.accesslevel | openAccess | fi |
| dc.type.publication | article | |
| dc.relation.grantnumber | 314227 | |
| dc.subject.yso | osittaisdifferentiaaliyhtälöt | |
| dc.subject.yso | differentiaaligeometria | |
| dc.format.content | fulltext | |
| jyx.subject.uri | http://www.yso.fi/onto/yso/p12392 | |
| jyx.subject.uri | http://www.yso.fi/onto/yso/p16682 | |
| dc.rights.url | https://creativecommons.org/licenses/by-nc-nd/4.0/ | |
| dc.relation.doi | 10.1016/j.anihpc.2020.02.007 | |
| dc.relation.funder | Research Council of Finland | en |
| dc.relation.funder | Suomen Akatemia | fi |
| jyx.fundingprogram | Research costs of Academy Research Fellow, AoF | en |
| jyx.fundingprogram | Akatemiatutkijan tutkimuskulut, SA | fi |
| jyx.fundinginformation | The first author was supported by the Academy of Finland grant 314227. | |
| dc.type.okm | A1 |
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