| dc.contributor.author | Avelin, Benny | |
| dc.contributor.author | Lukkari, Teemu | |
| dc.date.accessioned | 2015-09-03T09:40:58Z | |
| dc.date.available | 2015-09-03T09:40:58Z | |
| dc.date.issued | 2015 | |
| dc.identifier.citation | Avelin, 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.other | CONVID_24797233 | |
| dc.identifier.uri | https://jyx.jyu.fi/handle/123456789/46751 | |
| dc.description.abstract | Weak 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.iso | eng | |
| dc.publisher | American Mathematical Society | |
| dc.relation.ispartofseries | Proceedings of the American Mathematical Society | |
| dc.subject.other | porous medium equation | |
| dc.subject.other | supersolutions | |
| dc.subject.other | comparison principle | |
| dc.subject.other | lower semicontinuity | |
| dc.subject.other | degenerate diffusion | |
| dc.title | Lower semicontinuity of weak supersolutions to the porous medium equation | |
| dc.type | research article | |
| dc.identifier.urn | URN:NBN:fi:jyu-201509022788 | |
| 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.date.updated | 2015-09-02T06:15:11Z | |
| dc.type.coar | http://purl.org/coar/resource_type/c_2df8fbb1 | |
| dc.description.reviewstatus | peerReviewed | |
| dc.format.pagerange | 3475–3486 | |
| dc.relation.issn | 0002-9939 | |
| dc.relation.numberinseries | 8 | |
| dc.relation.volume | 143 | |
| dc.type.version | acceptedVersion | |
| 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.accesslevel | openAccess | fi |
| dc.type.publication | article | |
| dc.relation.doi | 10.1090/proc/12727 | |
| dc.type.okm | A1 | |
