Local wellposedness for the 2+1 dimensional monopole equation
| dc.creator | Czubak, Magdalena | |
| dc.date | 2007-12-10 | |
| dc.date | 2009-02-10 | |
| dc.date.accessioned | 2026-07-07T12:39:03Z | |
| dc.date.available | 2026-07-07T12:39:03Z | |
| dc.description | The space-time monopole equation on $\R^{2+1}$ can be derived by a dimensional reduction of the anti-self-dual Yang Mills equations on $\R^{2+2}$. It can be also viewed as the hyperbolic analog of Bogomolny equations. We uncover null forms in the nonlinearities and employ optimal bilinear estimates in the framework of Wave-Sobolev spaces. As a result, we show the equation is locally wellposed in the Coulomb gauge for initial data sufficiently small in $H^s$ for $s>{1/4}$. | |
| dc.description | 23 pages; Added some remarks, and rewrote parts of Sections 4 and 5; Submitted | |
| dc.identifier | https://arxiv.org/abs/0712.1393 | |
| dc.identifier | http://arxiv.org/abs/0712.1393 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/218974 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | 70S15; 35L70 | |
| dc.title | Local wellposedness for the 2+1 dimensional monopole equation | |
| dc.type | text |