dc.contributor.author | Ambrosio, Luigi | |
dc.contributor.author | Nicolussi Golo, Sebastiano | |
dc.contributor.author | Serra Cassano, Francesco | |
dc.date.accessioned | 2023-08-30T09:55:43Z | |
dc.date.available | 2023-08-30T09:55:43Z | |
dc.date.issued | 2023 | |
dc.identifier.citation | Ambrosio, L., Nicolussi Golo, S., & Serra Cassano, F. (2023). Classical flows of vector fields with exponential or sub-exponential summability. <i>Journal of Differential Equations</i>, <i>372</i>(5), 458-504. <a href="https://doi.org/10.1016/j.jde.2023.07.005" target="_blank">https://doi.org/10.1016/j.jde.2023.07.005</a> | |
dc.identifier.other | CONVID_184006724 | |
dc.identifier.uri | https://jyx.jyu.fi/handle/123456789/88801 | |
dc.description.abstract | We show that vector fields b whose spatial derivative Dx b satisfies a Orlicz summability condition have a spatially continuous representative and are well-posed. For the case of sub-exponential summability, their flows satisfy a Lusin (N) condition in a quantitative form, too. Furthermore, we prove that if Dx b satisfies a suitable exponential summability condition then the flow associated to b has Sobolev regularity, without assuming boundedness of divx b. We then apply these results to the representation and Sobolev regularity of weak solutions of the Cauchy problem for the transport and continuity equations. | en |
dc.format.mimetype | application/pdf | |
dc.language.iso | eng | |
dc.publisher | Elsevier BV | |
dc.relation.ispartofseries | Journal of Differential Equations | |
dc.rights | CC BY 4.0 | |
dc.subject.other | vector fields | |
dc.subject.other | flow | |
dc.subject.other | Sobolev–Orlicz spaces | |
dc.subject.other | transport equation | |
dc.subject.other | continuity equation | |
dc.title | Classical flows of vector fields with exponential or sub-exponential summability | |
dc.type | article | |
dc.identifier.urn | URN:NBN:fi:jyu-202308304838 | |
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.format.pagerange | 458-504 | |
dc.relation.issn | 0022-0396 | |
dc.relation.numberinseries | 5 | |
dc.relation.volume | 372 | |
dc.type.version | publishedVersion | |
dc.rights.copyright | © 2023 The Authors. Published by Elsevier Inc. | |
dc.rights.accesslevel | openAccess | fi |
dc.subject.yso | differentiaaliyhtälöt | |
dc.subject.yso | osittaisdifferentiaaliyhtälöt | |
dc.format.content | fulltext | |
jyx.subject.uri | http://www.yso.fi/onto/yso/p3552 | |
jyx.subject.uri | http://www.yso.fi/onto/yso/p12392 | |
dc.rights.url | https://creativecommons.org/licenses/by/4.0/ | |
dc.relation.doi | 10.1016/j.jde.2023.07.005 | |
dc.type.okm | A1 | |