Quenching phenomenon of singular parabolic problems with L1 initial data
dc.contributor.author | Dao, A.N. | |
dc.contributor.author | Díaz Díaz, Jesús Ildefonso | |
dc.contributor.author | Sauvy, P. | |
dc.date.accessioned | 2023-06-18T06:56:26Z | |
dc.date.available | 2023-06-18T06:56:26Z | |
dc.date.issued | 2016 | |
dc.description.abstract | We 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.department | Depto. de Análisis Matemático y Matemática Aplicada | |
dc.description.faculty | Fac. de Ciencias Matemáticas | |
dc.description.refereed | TRUE | |
dc.description.sponsorship | Unión Europea. FP7 | |
dc.description.sponsorship | Ministerio de Economía y Competitividad (MINECO) | |
dc.description.sponsorship | Universidad Complutense de Madrid | |
dc.description.status | pub | |
dc.eprint.id | https://eprints.ucm.es/id/eprint/39263 | |
dc.identifier.issn | 10726691 | |
dc.identifier.officialurl | http://ejde.math.txstate.edu/Volumes/2016/136/dao.pdf | |
dc.identifier.uri | https://hdl.handle.net/20.500.14352/24631 | |
dc.issue.number | 136 | |
dc.journal.title | Electronic Journal of Differential Equations | |
dc.language.iso | eng | |
dc.page.final | 16 | |
dc.page.initial | 1 | |
dc.publisher | Texas State University | |
dc.relation.projectID | FIRST (238702) | |
dc.relation.projectID | MTM2011-26119 | |
dc.relation.projectID | MOMAT (910480) | |
dc.rights.accessRights | open access | |
dc.subject.cdu | 517.9 | |
dc.subject.keyword | Free boundary | |
dc.subject.keyword | L1-initial datum | |
dc.subject.keyword | Quenching type parabolic equations | |
dc.subject.ucm | Ecuaciones diferenciales | |
dc.subject.unesco | 1202.07 Ecuaciones en Diferencias | |
dc.title | Quenching phenomenon of singular parabolic problems with L1 initial data | |
dc.type | journal article | |
dc.volume.number | 2016 | |
dspace.entity.type | Publication | |
relation.isAuthorOfPublication | 34ef57af-1f9d-4cf3-85a8-6a4171b23557 | |
relation.isAuthorOfPublication.latestForDiscovery | 34ef57af-1f9d-4cf3-85a8-6a4171b23557 |
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