Null structure and almost optimal local well-posedness of the Maxwell-Dirac system
| dc.creator | D'Ancona, Piero | |
| dc.creator | Foschi, Damiano | |
| dc.creator | Selberg, Sigmund | |
| dc.date | 2008-04-27 | |
| dc.date.accessioned | 2026-07-07T09:35:34Z | |
| dc.date.available | 2026-07-07T09:35:34Z | |
| dc.description | We uncover the full null structure of the Maxwell-Dirac system in Lorenz gauge. This structure, which cannot be seen in the individual component equations, but only when considering the system as a whole, is expressed in terms of tri- and quadrilinear integral forms with cancellations measured by the angles between spatial frequencies. In the 3D case, we prove frequency-localized $L^2$ space-time estimates for these integral forms at the scale invariant regularity up to a logarithmic loss, hence we obtain almost optimal local well-posedness of the system by iteration. | |
| dc.description | 53 pages, 2 figures | |
| dc.identifier | https://arxiv.org/abs/0804.4301 | |
| dc.identifier | http://arxiv.org/abs/0804.4301 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/159873 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | 35Q40, 35L70 | |
| dc.title | Null structure and almost optimal local well-posedness of the Maxwell-Dirac system | |
| dc.type | text |