dc.contributor.author | Gigli, Nicola | |
dc.contributor.author | Pasqualetto, Enrico | |
dc.contributor.author | Soultanis, Elefterios | |
dc.date.accessioned | 2021-02-08T12:51:17Z | |
dc.date.available | 2021-02-08T12:51:17Z | |
dc.date.issued | 2020 | |
dc.identifier.citation | Gigli, N., Pasqualetto, E., & Soultanis, E. (2020). Differential of metric valued Sobolev maps. <i>Journal of Functional Analysis</i>, <i>278</i>(6), Article 108403. <a href="https://doi.org/10.1016/j.jfa.2019.108403" target="_blank">https://doi.org/10.1016/j.jfa.2019.108403</a> | |
dc.identifier.other | CONVID_33943877 | |
dc.identifier.uri | https://jyx.jyu.fi/handle/123456789/74033 | |
dc.description.abstract | We introduce a notion of differential of a Sobolev map between metric spaces. The differential is given in the framework of tangent and cotangent modules of metric measure spaces, developed by the first author. We prove that our notion is consistent with Kirchheim's metric differential when the source is a Euclidean space, and with the abstract differential provided by the first author when the target is R. We also show compatibility with the concept of co-local weak differential introduced by Convent and Van Schaftingen. | en |
dc.format.mimetype | application/pdf | |
dc.language | eng | |
dc.language.iso | eng | |
dc.publisher | Elsevier | |
dc.relation.ispartofseries | Journal of Functional Analysis | |
dc.rights | CC BY-NC-ND 4.0 | |
dc.subject.other | function spaces | |
dc.subject.other | metric measure spaces | |
dc.subject.other | Sobolev spaces | |
dc.title | Differential of metric valued Sobolev maps | |
dc.type | article | |
dc.identifier.urn | URN:NBN:fi:jyu-202102081475 | |
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 | 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.relation.issn | 0022-1236 | |
dc.relation.numberinseries | 6 | |
dc.relation.volume | 278 | |
dc.type.version | acceptedVersion | |
dc.rights.copyright | © 2019 Published by Elsevier Inc | |
dc.rights.accesslevel | openAccess | fi |
dc.subject.yso | funktionaalianalyysi | |
dc.subject.yso | metriset avaruudet | |
dc.format.content | fulltext | |
jyx.subject.uri | http://www.yso.fi/onto/yso/p17780 | |
jyx.subject.uri | http://www.yso.fi/onto/yso/p27753 | |
dc.rights.url | https://creativecommons.org/licenses/by-nc-nd/4.0/ | |
dc.relation.doi | 10.1016/j.jfa.2019.108403 | |
dc.type.okm | A1 | |