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dc.contributor.authorKarch, Grzegorz
dc.contributor.authorImbert, Cyril
HAL ID: 9368
ORCID: 0000-0002-1290-8257
dc.contributor.authorBiler, Piotr
dc.date.accessioned2013-03-06T14:23:29Z
dc.date.available2013-03-06T14:23:29Z
dc.date.issued2015
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/11081
dc.language.isoenen
dc.subjectself-similar solutionsen
dc.subjecthypercontractivityen
dc.subjectnonlocal equationen
dc.subjectporous medium equationen
dc.subject.ddc515en
dc.titleThe nonlocal porous medium equation: Barenblatt profiles and other weak solutionsen
dc.typeArticle accepté pour publication ou publié
dc.description.abstractenA degenerate nonlinear nonlocal evolution equation is considered; it can be understood as a porous medium equation whose pressure law is nonlinear and nonlocal. We show the existence of sign changing weak solutions to the corresponding Cauchy problem. Moreover, we construct explicit compactly supported self-similar solutions which generalize Barenblatt profiles --- the well-known solutions of the classical porous medium equation.en
dc.relation.isversionofjnlnameArchive for Rational Mechanics and Analysis
dc.relation.isversionofjnlvol215
dc.relation.isversionofjnlissue2
dc.relation.isversionofjnldate2015
dc.relation.isversionofjnlpages497-529
dc.relation.isversionofdoihttp://dx.doi.org/10.1007/s00205-014-0786-1
dc.identifier.urlsitehttp://hal.archives-ouvertes.fr/hal-00795420en
dc.relation.isversionofjnlpublisherSpringer
dc.subject.ddclabelAnalyseen
dc.description.submittednonen


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