Well-posedness for the generalized Benjamin-Ono equations with arbitrary large initial data in the critical space
| dc.creator | Vento, Stéphane | |
| dc.date | 2008-07-14 | |
| dc.date.accessioned | 2026-07-07T09:50:12Z | |
| dc.date.available | 2026-07-07T09:50:12Z | |
| dc.description | We prove that the generalized Benjamin-Ono equations $\partial_tu+\mathcal{H}\partial_x^2u\pm u^k\partial_xu=0$, $k\geq 4$ are locally well-posed in the scaling invariant spaces $\dot{H}^{s_k}(\R)$ where $s_k=1/2-1/k$. Our results also hold in the non-homogeneous spaces $H^{s_k}(\R)$. In the case $k=3$, local well-posedness is obtained in $H^{s}(\R)$, $s>1/3$. | |
| dc.identifier | https://arxiv.org/abs/0807.2193 | |
| dc.identifier | http://arxiv.org/abs/0807.2193 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/164862 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | 35Q55, 35B30, 76B03, 76B55 | |
| dc.title | Well-posedness for the generalized Benjamin-Ono equations with arbitrary large initial data in the critical space | |
| dc.type | text |