Equivalence of viscosity and weak solutions for a p-parabolic equation

Siltakoski, Jarkko

doi:10.1007/s00028-020-00666-y

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