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A control problem related to the parabolic dominative p-Laplace equation

dc.contributor.authorHøeg, Fredrik Arbo
dc.contributor.authorRuosteenoja, Eero
dc.date.accessioned2020-01-29T09:44:34Z
dc.date.available2020-01-29T09:44:34Z
dc.date.created2020-01-08T11:29:50Z
dc.date.issued2019
dc.identifier.citationNonlinear Analysis. 2019, 195 .nb_NO
dc.identifier.issn0362-546X
dc.identifier.urihttp://hdl.handle.net/11250/2638505
dc.description.abstractWe show that value functions of a certain time-dependent control problem in Ω × (0, T), with a continuous payoff F on the parabolic boundary, converge uniformly to the viscosity solution of the parabolic dominative p-Laplace equation 2(n + p)ut = ∆u + (p − 2)λn(D2u), with the boundary data F. Here 2 < p < ∞, and λn(D2u) is the largest eigenvalue of the Hessian D2u.nb_NO
dc.language.isoengnb_NO
dc.publisherElseviernb_NO
dc.rightsNavngivelse 4.0 Internasjonal*
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/deed.no*
dc.titleA control problem related to the parabolic dominative p-Laplace equationnb_NO
dc.typeJournal articlenb_NO
dc.typePeer reviewednb_NO
dc.description.versionpublishedVersionnb_NO
dc.source.pagenumber13nb_NO
dc.source.volume195nb_NO
dc.source.journalNonlinear Analysisnb_NO
dc.identifier.doi10.1016/j.na.2019.111721
dc.identifier.cristin1768425
dc.description.localcode© 2019 The Author(s). Published by Elsevier Ltd. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/).nb_NO
cristin.unitcode194,63,15,0
cristin.unitnameInstitutt for matematiske fag
cristin.ispublishedtrue
cristin.fulltextpostprint
cristin.qualitycode1


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