Bilinear space-time estimates for linearised KP-type equations on the three-dimensional torus with applications
| dc.creator | Grünrock, Axel | |
| dc.date | 2009-01-13 | |
| dc.date.accessioned | 2026-07-07T12:28:59Z | |
| dc.date.available | 2026-07-07T12:28:59Z | |
| dc.description | A bilinear estimate in terms of Bourgain spaces associated with a linearised Kadomtsev-Petviashvili-type equation on the three-dimensional torus is shown. As a consequence, time localized linear and bilinear space time estimates for this equation are obtained. Applications to the local and global well-posedness of dispersion generalised KP-II equations are discussed. Especially it is proved that the periodic boundary value problem for the original KP-II equation is locally well-posed for data in the anisotropic Sobolev spaces $H^s_xH^{\e}_y(\T^3)$, if $s \ge \frac12$ and $\e > 0$. | |
| dc.description | 13 pages | |
| dc.identifier | https://arxiv.org/abs/0901.1807 | |
| dc.identifier | http://arxiv.org/abs/0901.1807 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/215727 | |
| dc.subject | Analysis of PDEs | |
| dc.title | Bilinear space-time estimates for linearised KP-type equations on the three-dimensional torus with applications | |
| dc.type | text |