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dc.contributor.authorFeng, Yawen
dc.contributor.authorParviainen, Mikko
dc.contributor.authorSarsa, Saara
dc.date.accessioned2022-03-21T12:09:41Z
dc.date.available2022-03-21T12:09:41Z
dc.date.issued2022
dc.identifier.citationFeng, 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.otherCONVID_104469487
dc.identifier.urihttps://jyx.jyu.fi/handle/123456789/80280
dc.description.abstractIn 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.mimetypeapplication/pdf
dc.language.isoeng
dc.publisherBirkhäuser
dc.relation.ispartofseriesJournal of Evolution Equations
dc.rightsCC BY 4.0
dc.subject.otherp-parabolic functions
dc.subject.otherweak solutions
dc.subject.otherfundamental inequality
dc.subject.otherSobolev regularity
dc.subject.othertime derivative
dc.titleOn the second-order regularity of solutions to the parabolic p-Laplace equation
dc.typearticle
dc.identifier.urnURN:NBN:fi:jyu-202203211978
dc.contributor.laitosMatematiikan ja tilastotieteen laitosfi
dc.contributor.laitosDepartment of Mathematics and Statisticsen
dc.contributor.oppiaineAnalyysin ja dynamiikan tutkimuksen huippuyksikköfi
dc.contributor.oppiaineMatematiikkafi
dc.contributor.oppiaineAnalysis and Dynamics Research (Centre of Excellence)en
dc.contributor.oppiaineMathematicsen
dc.type.urihttp://purl.org/eprint/type/JournalArticle
dc.description.reviewstatuspeerReviewed
dc.relation.issn1424-3199
dc.relation.volume22
dc.type.versionpublishedVersion
dc.rights.copyright© 2022 Crown
dc.rights.accesslevelopenAccessfi
dc.subject.ysoosittaisdifferentiaaliyhtälöt
dc.format.contentfulltext
jyx.subject.urihttp://www.yso.fi/onto/yso/p12392
dc.rights.urlhttps://creativecommons.org/licenses/by/4.0/
dc.relation.doi10.1007/s00028-022-00760-3
jyx.fundinginformationYawen 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.


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