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hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorHAFNER, Dietrich
hal.structure.identifierLaboratoire de mathématiques de Brest [LM]
dc.contributor.authorNICOLAS, Jean-Philippe
dc.date.accessioned2024-04-04T02:41:33Z
dc.date.available2024-04-04T02:41:33Z
dc.date.created2009-03-03
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/191161
dc.description.abstractEnOn arbitrary spacetimes, we study the characteristic Cauchy problem for Dirac fields on a light-cone. We prove the existence and uniqueness of solutions in the future of the light-cone inside a geodesically convex neighbourhood of the vertex. This is done for data in $L^2$ and we give an explicit definition of the space of data on the light-cone producing a solution in $H^1$. The method is based on energy estimates following L. Hörmander.
dc.description.sponsorshipEquations hyperboliques dans des espaces-temps de la relativité générale : diffusion et résonances. - ANR-05-JCJC-0087
dc.language.isoen
dc.title.enThe characteristic Cauchy problem for Dirac fields on curved backgrounds
dc.typeDocument de travail - Pré-publication
dc.subject.halMathématiques [math]/Equations aux dérivées partielles [math.AP]
dc.subject.halMathématiques [math]/Géométrie métrique [math.MG]
dc.subject.halMathématiques [math]/Physique mathématique [math-ph]
dc.subject.halPhysique [physics]/Physique mathématique [math-ph]
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
hal.identifierhal-00365912
hal.version1
hal.audienceNon spécifiée
dc.subject.esGoursat problem
dc.subject.esDirac equation
dc.subject.esLorentzian geometry
dc.subject.esRegularity
dc.subject.esEnergy estimates
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-00365912v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.au=HAFNER,%20Dietrich&NICOLAS,%20Jean-Philippe&rft.genre=preprint


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