Sharp well-posedness for Kadomtsev-Petviashvili-Burgers (KPBII) equation in $R^2$
| dc.creator | Kojok, Bassam | |
| dc.date | 2006-05-19 | |
| dc.date | 2006-05-22 | |
| dc.date.accessioned | 2026-07-07T07:14:25Z | |
| dc.date.available | 2026-07-07T07:14:25Z | |
| dc.description | We prove global well-posedness for the Cauchy problem associated with the Kadomotsev-Petviashvili-Burgers equation (KPBII) in $\mathbb R^2$ when the initial value belongs to the anisotropic Sobolev space $H^{s_1,s_2}(\mathbb R^2)$ for all $s_1>-\frac12$ and $s_2\geq0$. On the other hand, we prove in some sense that our result is sharp. | |
| dc.description | 31 pages | |
| dc.identifier | https://arxiv.org/abs/math/0605547 | |
| dc.identifier | http://arxiv.org/abs/math/0605547 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/112864 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | Mathematical Physics | |
| dc.subject | Primary 35Q53, 35A07, 35B30 | |
| dc.title | Sharp well-posedness for Kadomtsev-Petviashvili-Burgers (KPBII) equation in $R^2$ | |
| dc.type | text |