dc.contributor.author | del Teso Mendez, Felix | |
dc.contributor.author | Endal, Jørgen | |
dc.contributor.author | Jakobsen, Espen Robstad | |
dc.date.accessioned | 2018-04-26T12:36:42Z | |
dc.date.available | 2018-04-26T12:36:42Z | |
dc.date.created | 2017-12-28T21:30:05Z | |
dc.date.issued | 2017 | |
dc.identifier.citation | Comptes rendus. Mathematique. 2017, 355 (11), 1154-1160. | nb_NO |
dc.identifier.issn | 1631-073X | |
dc.identifier.uri | http://hdl.handle.net/11250/2496171 | |
dc.description.abstract | We present a theory of well-posedness and a priori estimates for bounded distributional (or very weak) solutions of ∂tu − L σ,µ[ϕ(u)] = g(x, t) in R N (0.1) × (0, T ), where ϕ is merely continuous and nondecreasing and L σ,µ is the generator of a general symmetric L´evy process. This means that L σ,µ can have both local and nonlocal parts like e.g. L σ,µ = ∆ − (−∆) 1 2 . New uniqueness results for bounded distributional solutions of this problem and the corresponding elliptic equation are presented and proven. A key role is played by a new Liouville type result for L σ,µ. Existence and a priori estimates are deduced from a numerical approximation, and energy type estimates are also obtained. | nb_NO |
dc.language.iso | fre | nb_NO |
dc.publisher | Elsevier | nb_NO |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internasjonal | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/deed.no | * |
dc.title | On distributional solutions of local and nonlocal problems of porous medium type | nb_NO |
dc.title.alternative | Sur des solutions distributionnelles de problèmes locaux et non locaux de type milieux poreux | nb_NO |
dc.type | Journal article | nb_NO |
dc.type | Peer reviewed | nb_NO |
dc.description.version | acceptedVersion | nb_NO |
dc.source.pagenumber | 1154-1160 | nb_NO |
dc.source.volume | 355 | nb_NO |
dc.source.journal | Comptes rendus. Mathematique | nb_NO |
dc.source.issue | 11 | nb_NO |
dc.identifier.doi | 10.1016/j.crma.2017.10.010 | |
dc.identifier.cristin | 1532627 | |
dc.relation.project | Norges forskningsråd: 250070 | nb_NO |
dc.description.localcode | © 2017. This is the authors’ accepted and refereed manuscript to the article. Locked until 6.11.2018 due to copyright restrictions. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/ | nb_NO |
cristin.unitcode | 194,63,15,0 | |
cristin.unitname | Institutt for matematiske fag | |
cristin.ispublished | true | |
cristin.fulltext | postprint | |
cristin.qualitycode | 1 | |