dc.contributor.author | Bonicatto, Paolo | |
dc.contributor.author | Pasqualetto, Enrico | |
dc.contributor.author | Rajala, Tapio | |
dc.date.accessioned | 2020-03-09T09:26:02Z | |
dc.date.available | 2020-03-09T09:26:02Z | |
dc.date.issued | 2020 | |
dc.identifier.citation | Bonicatto, P., Pasqualetto, E., & Rajala, T. (2020). Indecomposable sets of finite perimeter in doubling metric measure spaces. <i>Calculus of Variations and Partial Differential Equations</i>, <i>59</i>(2), Article 63. <a href="https://doi.org/10.1007/s00526-020-1725-7" target="_blank">https://doi.org/10.1007/s00526-020-1725-7</a> | |
dc.identifier.other | CONVID_34927857 | |
dc.identifier.uri | https://jyx.jyu.fi/handle/123456789/68103 | |
dc.description.abstract | We study a measure-theoretic notion of connectedness for sets of finite perimeter in the setting of doubling metric measure spaces supporting a weak (1,1)-Poincaré inequality. The two main results we obtain are a decomposition theorem into indecomposable sets and a characterisation of extreme points in the space of BV functions. In both cases, the proof we propose requires an additional assumption on the space, which is called isotropicity and concerns the Hausdorff-type representation of the perimeter measure. | en |
dc.format.mimetype | application/pdf | |
dc.language | eng | |
dc.language.iso | eng | |
dc.publisher | Springer | |
dc.relation.ispartofseries | Calculus of Variations and Partial Differential Equations | |
dc.rights | CC BY 4.0 | |
dc.subject.other | variation | |
dc.subject.other | differential equations | |
dc.title | Indecomposable sets of finite perimeter in doubling metric measure spaces | |
dc.type | article | |
dc.identifier.urn | URN:NBN:fi:jyu-202003092338 | |
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.relation.issn | 0944-2669 | |
dc.relation.numberinseries | 2 | |
dc.relation.volume | 59 | |
dc.type.version | publishedVersion | |
dc.rights.copyright | © 2020 the Authors | |
dc.rights.accesslevel | openAccess | fi |
dc.relation.grantnumber | 274372 | |
dc.relation.grantnumber | 307333 HY | |
dc.relation.grantnumber | 312488 | |
dc.relation.grantnumber | 314789 | |
dc.subject.yso | metriset avaruudet | |
dc.subject.yso | variaatiolaskenta | |
dc.subject.yso | mittateoria | |
dc.subject.yso | differentiaaligeometria | |
dc.format.content | fulltext | |
jyx.subject.uri | http://www.yso.fi/onto/yso/p27753 | |
jyx.subject.uri | http://www.yso.fi/onto/yso/p11197 | |
jyx.subject.uri | http://www.yso.fi/onto/yso/p13386 | |
jyx.subject.uri | http://www.yso.fi/onto/yso/p16682 | |
dc.rights.url | https://creativecommons.org/licenses/by/4.0/ | |
dc.relation.doi | 10.1007/s00526-020-1725-7 | |
dc.relation.funder | Research Council of Finland | en |
dc.relation.funder | Research Council of Finland | en |
dc.relation.funder | Research Council of Finland | en |
dc.relation.funder | Research Council of Finland | en |
dc.relation.funder | Suomen Akatemia | fi |
dc.relation.funder | Suomen Akatemia | fi |
dc.relation.funder | Suomen Akatemia | fi |
dc.relation.funder | Suomen Akatemia | fi |
jyx.fundingprogram | Academy Research Fellow, AoF | en |
jyx.fundingprogram | Centre of Excellence, AoF | en |
jyx.fundingprogram | Research costs of Academy Research Fellow, AoF | en |
jyx.fundingprogram | Academy Project, AoF | en |
jyx.fundingprogram | Akatemiatutkija, SA | fi |
jyx.fundingprogram | Huippuyksikkörahoitus, SA | fi |
jyx.fundingprogram | Akatemiatutkijan tutkimuskulut, SA | fi |
jyx.fundingprogram | Akatemiahanke, SA | fi |
jyx.fundinginformation | Open access funding provided by University of Jyväskylä (JYU). The first named author acknowledges ERC Starting Grant 676675 FLIRT. The second and third named authors are partially supported by the Academy of Finland, Projects 274372, 307333, 312488, and 314789. | |
dc.type.okm | A1 | |