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dc.contributor.authordel Teso, Félix
dc.contributor.authorLindgren, Erik
dc.contributor.otherUAM. Departamento de Matemáticases_ES
dc.date.accessioned2022-11-23T13:05:08Z
dc.date.available2022-11-23T13:05:08Z
dc.date.issued2022-10-21
dc.identifier.citationSeMA Journal (2022): 1-21en_US
dc.identifier.issn2254-3902 (print)en_US
dc.identifier.issn2281-7875 (online)en_US
dc.identifier.urihttp://hdl.handle.net/10486/705324
dc.description.abstractWe propose a new finite difference scheme for the degenerate parabolic equation ∂tu-div(|∇u|p-2∇u)=f,p≥2.Under the assumption that the data is Hölder continuous, we establish the convergence of the explicit-in-time scheme for the Cauchy problem provided a suitable stability type CFL-condition. An important advantage of our approach, is that the CFL-condition makes use of the regularity provided by the scheme to reduce the computational cost. In particular, for Lipschitz data, the CFL-condition is of the same order as for the heat equation and independent of pen_US
dc.description.sponsorshipOpen Access funding provided thanks to the CRUE-CSIC agreement with Springer Natureen_US
dc.format.extent21 pag.es_ES
dc.format.mimetypeapplication/pdfen_US
dc.language.isoengen
dc.publisherSpringeren_US
dc.relation.ispartofSeMA Journalen_US
dc.rights© The Author(s) 2022en_US
dc.subject.otherExplicit schemeen_US
dc.subject.otherFinite differencesen_US
dc.subject.otherMean value propertyen_US
dc.subject.otherp-Laplacianen_US
dc.subject.otherViscosity solutionsen_US
dc.titleFinite difference schemes for the parabolic p-Laplace equationen_US
dc.typearticleen_US
dc.subject.ecienciaMatemáticases_ES
dc.relation.publisherversionhttps://doi.org/10.1007/s40324-022-00316-yen_US
dc.identifier.doi10.1007/s40324-022-00316-yen_US
dc.identifier.publicationfirstpage1es_ES
dc.identifier.publicationlastpage21es_ES
dc.type.versioninfo:eu-repo/semantics/publishedVersionen_US
dc.rights.ccReconocimientoes_ES
dc.rights.accessRightsopenAccessen_US
dc.facultadUAMFacultad de Cienciases_ES


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