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Quenching phenomenon of singular parabolic problems with L1 initial data

dc.contributor.authorDao, A.N.
dc.contributor.authorDíaz Díaz, Jesús Ildefonso
dc.contributor.authorSauvy, P.
dc.date.accessioned2023-06-18T06:56:26Z
dc.date.available2023-06-18T06:56:26Z
dc.date.issued2016
dc.description.abstractWe extend some previous existence results for quenching type parabolic problems involving a negative power of the unknown in the equation to the case of merely integrable initial data. We show that L1 Ω is the suitable framework to obtain the continuous dependence with respect to some norm of the initial datum; This way we answer to the question raised by several authors in the previous literature. We also show the complete quenching phenomena for such a L1-initial datum.
dc.description.departmentDepto. de Análisis Matemático y Matemática Aplicada
dc.description.facultyFac. de Ciencias Matemáticas
dc.description.refereedTRUE
dc.description.sponsorshipUnión Europea. FP7
dc.description.sponsorshipMinisterio de Economía y Competitividad (MINECO)
dc.description.sponsorshipUniversidad Complutense de Madrid
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/39263
dc.identifier.issn10726691
dc.identifier.officialurlhttp://ejde.math.txstate.edu/Volumes/2016/136/dao.pdf
dc.identifier.urihttps://hdl.handle.net/20.500.14352/24631
dc.issue.number136
dc.journal.titleElectronic Journal of Differential Equations
dc.language.isoeng
dc.page.final16
dc.page.initial1
dc.publisherTexas State University
dc.relation.projectIDFIRST (238702)
dc.relation.projectIDMTM2011-26119
dc.relation.projectIDMOMAT (910480)
dc.rights.accessRightsopen access
dc.subject.cdu517.9
dc.subject.keywordFree boundary
dc.subject.keywordL1-initial datum
dc.subject.keywordQuenching type parabolic equations
dc.subject.ucmEcuaciones diferenciales
dc.subject.unesco1202.07 Ecuaciones en Diferencias
dc.titleQuenching phenomenon of singular parabolic problems with L1 initial data
dc.typejournal article
dc.volume.number2016
dspace.entity.typePublication
relation.isAuthorOfPublication34ef57af-1f9d-4cf3-85a8-6a4171b23557
relation.isAuthorOfPublication.latestForDiscovery34ef57af-1f9d-4cf3-85a8-6a4171b23557

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