Mostrar el registro sencillo del ítem

Remarks on the Well-Posedness of the Nonlinear Cauchy Problem

hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorMETIVIER, Guy
dc.date.accessioned2024-04-04T03:18:39Z
dc.date.available2024-04-04T03:18:39Z
dc.date.issued2005
dc.identifier.issn0271-4132
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/194430
dc.description.abstractEnWe show that hyperbolicity is a necessary condition for the well posedness of the noncharacteristic Cauchy problem for nonlinear partial differential equations. We give conditions on the initial data which are necessary for the existence of solutions and we analyze Hadamard's instabilities in Sobolev spaces. We also show that genuinely nonlinear equations raise new interesting problems.
dc.language.isoen
dc.publisherAmerican Mathematical Society
dc.subject.enCauchy Problem
dc.subject.enwell posedness
dc.subject.enHadamard's instability
dc.title.enRemarks on the Well-Posedness of the Nonlinear Cauchy Problem
dc.typeArticle de revue
dc.subject.halMathématiques [math]/Equations aux dérivées partielles [math.AP]
dc.identifier.arxivmath/0611441
bordeaux.journalContemporary mathematics
bordeaux.page337-356
bordeaux.volume368
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.peerReviewedoui
hal.identifierhal-00113899
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-00113899v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Contemporary%20mathematics&rft.date=2005&rft.volume=368&rft.spage=337-356&rft.epage=337-356&rft.eissn=0271-4132&rft.issn=0271-4132&rft.au=METIVIER,%20Guy&rft.genre=article


Archivos en el ítem

ArchivosTamañoFormatoVer

No hay archivos asociados a este ítem.

Este ítem aparece en la(s) siguiente(s) colección(ones)

Mostrar el registro sencillo del ítem