Well-posedness for the Kadomtsev-Petviashvili II equation and generalisations
| dc.creator | Hadac, M. | |
| dc.date | 2006-11-07 | |
| dc.date.accessioned | 2026-07-07T07:32:36Z | |
| dc.date.available | 2026-07-07T07:32:36Z | |
| dc.description | We show the local in time well-posedness of the Cauchy problem for the Kadomtsev-Petviashvili II equation for initial data in the non-isotropic Sobolev space H^{s_1,s_2}(R^2) with s_1 > -1/2 and s_2 \geq 0. On the H^{s_1,0}(R^2) scale this result includes the full subcritical range without any additional low frequency assumption on the initial data. More generally, we prove the local in time well-posedness of the Cauchy problem for a dispersion generalised KP II type equation. We also deduce a global well-posedness result for the generalised equation. | |
| dc.description | 17 pages | |
| dc.identifier | https://arxiv.org/abs/math/0611197 | |
| dc.identifier | http://arxiv.org/abs/math/0611197 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/119170 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | 35Q53 (Primary); 35B30 (Secondary) | |
| dc.title | Well-posedness for the Kadomtsev-Petviashvili II equation and generalisations | |
| dc.type | text |