The characteristic Cauchy problem for Dirac fields on curved backgrounds
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | HAFNER, Dietrich | |
| hal.structure.identifier | Laboratoire de mathématiques de Brest [LM] | |
| dc.contributor.author | NICOLAS, Jean-Philippe | |
| dc.date.accessioned | 2024-04-04T02:41:33Z | |
| dc.date.available | 2024-04-04T02:41:33Z | |
| dc.date.created | 2009-03-03 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/191161 | |
| dc.description.abstractEn | On 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.sponsorship | Equations hyperboliques dans des espaces-temps de la relativité générale : diffusion et résonances. - ANR-05-JCJC-0087 | |
| dc.language.iso | en | |
| dc.title.en | The characteristic Cauchy problem for Dirac fields on curved backgrounds | |
| dc.type | Document de travail - Pré-publication | |
| dc.subject.hal | Mathématiques [math]/Equations aux dérivées partielles [math.AP] | |
| dc.subject.hal | Mathématiques [math]/Géométrie métrique [math.MG] | |
| dc.subject.hal | Mathématiques [math]/Physique mathématique [math-ph] | |
| dc.subject.hal | Physique [physics]/Physique mathématique [math-ph] | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| hal.identifier | hal-00365912 | |
| hal.version | 1 | |
| hal.audience | Non spécifiée | |
| dc.subject.es | Goursat problem | |
| dc.subject.es | Dirac equation | |
| dc.subject.es | Lorentzian geometry | |
| dc.subject.es | Regularity | |
| dc.subject.es | Energy estimates | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-00365912v1 | |
| bordeaux.COinS | ctx_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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