On the second-order regularity of solutions to the parabolic p-Laplace equation
| dc.contributor.author | Feng, Yawen | |
| dc.contributor.author | Parviainen, Mikko | |
| dc.contributor.author | Sarsa, Saara | |
| dc.date.accessioned | 2022-03-21T12:09:41Z | |
| dc.date.available | 2022-03-21T12:09:41Z | |
| dc.date.issued | 2022 | |
| dc.identifier.citation | Feng, Y., Parviainen, M., & Sarsa, S. (2022). On the second-order regularity of solutions to the parabolic p-Laplace equation. <i>Journal of Evolution Equations</i>, <i>22</i>, Article 6. <a href="https://doi.org/10.1007/s00028-022-00760-3" target="_blank">https://doi.org/10.1007/s00028-022-00760-3</a> | |
| dc.identifier.other | CONVID_104469487 | |
| dc.identifier.uri | https://jyx.jyu.fi/handle/123456789/80280 | |
| dc.description.abstract | In this paper, we study the second-order Sobolev regularity of solutions to the parabolic p-Laplace equation. For any p-parabolic function u, we show that D(|Du|p−2+s2Du) exists as a function and belongs to L2loc with s>−1 and 1<p><∞. The range of s is sharp.</p> | en |
| dc.format.mimetype | application/pdf | |
| dc.language.iso | eng | |
| dc.publisher | Birkhäuser | |
| dc.relation.ispartofseries | Journal of Evolution Equations | |
| dc.rights | CC BY 4.0 | |
| dc.subject.other | p-parabolic functions | |
| dc.subject.other | weak solutions | |
| dc.subject.other | fundamental inequality | |
| dc.subject.other | Sobolev regularity | |
| dc.subject.other | time derivative | |
| dc.title | On the second-order regularity of solutions to the parabolic p-Laplace equation | |
| dc.type | article | |
| dc.identifier.urn | URN:NBN:fi:jyu-202203211978 | |
| 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.relation.issn | 1424-3199 | |
| dc.relation.volume | 22 | |
| dc.type.version | publishedVersion | |
| dc.rights.copyright | © 2022 Crown | |
| dc.rights.accesslevel | openAccess | fi |
| dc.subject.yso | osittaisdifferentiaaliyhtälöt | |
| dc.format.content | fulltext | |
| jyx.subject.uri | http://www.yso.fi/onto/yso/p12392 | |
| dc.rights.url | https://creativecommons.org/licenses/by/4.0/ | |
| dc.relation.doi | 10.1007/s00028-022-00760-3 | |
| jyx.fundinginformation | Yawen Feng was supported by China Scholarship Council, No. 202006020186. Saara Sarsa was supported by the Academy of Finland, the Centre of Excellence in Analysis and Dynamics Research and the Academy of Finland, Project 308759. | |
| dc.type.okm | A1 |
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