dc.contributor.author | Siltakoski, Jarkko | |
dc.date.accessioned | 2021-03-01T06:46:49Z | |
dc.date.available | 2021-03-01T06:46:49Z | |
dc.date.issued | 2021 | |
dc.identifier.citation | Siltakoski, J. (2021). Equivalence of viscosity and weak solutions for a p-parabolic equation. <i>Journal of Evolution Equations</i>, <i>21</i>(2), 2047-2080. <a href="https://doi.org/10.1007/s00028-020-00666-y " target="_blank">https://doi.org/10.1007/s00028-020-00666-y </a> | |
dc.identifier.other | CONVID_51626332 | |
dc.identifier.uri | https://jyx.jyu.fi/handle/123456789/74429 | |
dc.description.abstract | We study the relationship of viscosity and weak solutions to the equation partial derivative(t)u - Delta(p)u = f (Du), where p > 1 and f is an element of C(R-N) satisfies suitable assumptions. Our main result is that bounded viscosity supersolutions coincide with bounded lower semicontinuous weak supersolutions. Moreover, we prove the lower semicontinuity of weak supersolutions when p >= 2. | en |
dc.format.mimetype | application/pdf | |
dc.language | eng | |
dc.language.iso | eng | |
dc.publisher | Springer | |
dc.relation.ispartofseries | Journal of Evolution Equations | |
dc.rights | CC BY 4.0 | |
dc.subject.other | comparison principle | |
dc.subject.other | gradient term | |
dc.subject.other | parabolic p-Laplacian | |
dc.subject.other | viscosity solution | |
dc.subject.other | weak solution | |
dc.title | Equivalence of viscosity and weak solutions for a p-parabolic equation | |
dc.type | article | |
dc.identifier.urn | URN:NBN:fi:jyu-202103011797 | |
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 | 2047-2080 | |
dc.relation.issn | 1424-3199 | |
dc.relation.numberinseries | 2 | |
dc.relation.volume | 21 | |
dc.type.version | publishedVersion | |
dc.rights.copyright | © 2021 The Author(s) | |
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/s00028-020-00666-y | |
jyx.fundinginformation | Open Access funding provided by University of Jyväskylä (JYU). | |
dc.type.okm | A1 | |