Almost optimal local well-posedness of the Maxwell-Klein-Gordon equations in 1+4 dimensions
| dc.creator | Selberg, Sigmund | |
| dc.date | 2001-01-13 | |
| dc.date | 2002-02-20 | |
| dc.date.accessioned | 2026-07-07T04:39:40Z | |
| dc.date.available | 2026-07-07T04:39:40Z | |
| dc.description | We prove that the Maxwell-Klein-Gordon equations on $\R^{1+4}$ relative to the Coulomb gauge are locally well-posed for initial data in $H^{1+ε}$ for all $ε> 0$. This builds on previous work by Klainerman and Machedon who proved the corresponding result for a model problem derived from the Maxwell-Klein-Gordon system by ignoring the elliptic features of the system, as well as cubic terms. | |
| dc.identifier | https://arxiv.org/abs/math/0101120 | |
| dc.identifier | http://arxiv.org/abs/math/0101120 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/60757 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | 35Q40; 35L70 | |
| dc.title | Almost optimal local well-posedness of the Maxwell-Klein-Gordon equations in 1+4 dimensions | |
| dc.type | text |