Publication:
Unbounded solutions of the nonlocal heat equation

Simple item page
dc.affiliation.dptoUC3M. Departamento de Matemáticases
dc.contributor.authorBrandle Cerqueira, Cristina
dc.contributor.authorChasseigne, E.
dc.contributor.authorFerreira, Raúl
dc.date.accessioned2016-01-20T16:06:11Z
dc.date.available2016-01-20T16:06:11Z
dc.date.issued2011-11
dc.description.abstractWe consider the Cauchy problem posed in the whole space for the following nonlocal heat equation: where is a symmetric continuous probability density. Depending on the tail of , we give a rather complete picture of the problem in optimal classes of data by: estimating the initial trace of (possibly unbounded) solutions; showing existence and uniqueness results in a suitable class; proving blow-up in finite time in the case of some critical growths; giving explicit unbounded polynomial solutions.es
dc.format.extent24es
dc.identifier.issn1534-0392
dc.identifier.publicationfirstpage1663es
dc.identifier.publicationissue6es
dc.identifier.publicationlastpage1686es
dc.identifier.publicationtitleCommunications on Pure and Applied Analysises
dc.identifier.publicationvolume10es
dc.identifier.urihttps://hdl.handle.net/10016/22186
dc.language.isoenges
dc.publisherAmerican Institute of Mathematical Scienceses
dc.relation.publisherversionhttp://www.aimsciences.org/index.htmles
dc.rights.accessRightsopen accesses
dc.subject.ecienciaMatemáticases
dc.subject.otherMatemáticases
dc.subject.otherMatemáticas aplicadases
dc.titleUnbounded solutions of the nonlocal heat equationes
dc.typeresearch article*
dc.type.hasVersionVoR*
dspace.entity.typePublication
Files
Collections
DM - Artículos de Revistas