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dc.contributor.authorAvelin, Benny
dc.contributor.authorLukkari, Teemu
dc.date.accessioned2015-09-03T09:40:58Z
dc.date.available2015-09-03T09:40:58Z
dc.date.issued2015
dc.identifier.citationAvelin, B., & Lukkari, T. (2015). Lower semicontinuity of weak supersolutions to the porous medium equation. <i>Proceedings of the American Mathematical Society</i>, <i>143</i>(8), 3475–3486. <a href="https://doi.org/10.1090/proc/12727" target="_blank">https://doi.org/10.1090/proc/12727</a>
dc.identifier.otherCONVID_24797233
dc.identifier.otherTUTKAID_66624
dc.identifier.urihttps://jyx.jyu.fi/handle/123456789/46751
dc.description.abstractWeak supersolutions to the porous medium equation are defined by means of smooth test functions under an integral sign. We show that nonnegative weak supersolutions become lower semicontinuous after redefinition on a set of measure zero. This shows that weak supersolutions belong to a class of supersolutions defined by a comparison principle.fi
dc.language.isoeng
dc.publisherAmerican Mathematical Society
dc.relation.ispartofseriesProceedings of the American Mathematical Society
dc.subject.otherporous medium equation
dc.subject.othersupersolutions
dc.subject.othercomparison principle
dc.subject.otherlower semicontinuity
dc.subject.otherdegenerate diffusion
dc.titleLower semicontinuity of weak supersolutions to the porous medium equation
dc.typearticle
dc.identifier.urnURN:NBN:fi:jyu-201509022788
dc.contributor.laitosMatematiikan ja tilastotieteen laitosfi
dc.contributor.laitosDepartment of Mathematics and Statisticsen
dc.contributor.oppiaineMatematiikkafi
dc.contributor.oppiaineMathematicsen
dc.type.urihttp://purl.org/eprint/type/JournalArticle
dc.date.updated2015-09-02T06:15:11Z
dc.type.coarjournal article
dc.description.reviewstatuspeerReviewed
dc.format.pagerange3475–3486
dc.relation.issn0002-9939
dc.relation.numberinseries8
dc.relation.volume143
dc.type.versionacceptedVersion
dc.rights.copyright© 2015 American Mathematical Society. This is a final draft version of an article whose final and definitive form has been published by AMS. Published in this repository with the kind permission of the publisher.
dc.rights.accesslevelopenAccessfi
dc.relation.doi10.1090/proc/12727


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