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dc.contributor.authorKarch, Grzegorz
dc.contributor.authorImbert, Cyril
dc.contributor.authorBiler, Piotr
dc.date.accessioned2010-04-07T10:21:47Z
dc.date.available2010-04-07T10:21:47Z
dc.date.issued2010
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/3875
dc.language.isoenen
dc.subjectSelf-similar solutionsen
dc.subject$L^p$-estimatesen
dc.subjectporous medium equationen
dc.subjectRiesz potentialen
dc.subjectfractional Laplacianen
dc.subject.ddc515en
dc.titleFractal porous medium equationen
dc.typeCommunication / Conférence
dc.contributor.editoruniversityotherUniwersytet Wroclawski;Pologne
dc.description.abstractenWe study a generalization of the porous medium equation involving nonlocal terms. In particular, the $L^p$ decay of solutions of the Cauchy problem is proved. Explicit self-similar solutions with compact support generalizing the KZB (or Barenblatt) solutions are constructed in the case corresponding to transport equation with a nonlocal velocity.en
dc.identifier.citationpages6en
dc.identifier.urlsitehttp://hal.archives-ouvertes.fr/hal-00444392/fr/en
dc.description.sponsorshipprivateouien
dc.subject.ddclabelAnalyseen
dc.relation.conftitleEmerging Topics in Dynamical Systems and Partial Differential Equations (DSPDES 2010)
dc.relation.confdate2010-06
dc.relation.confcityBarcelone
dc.relation.confcountryEspagne


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