An improved bilinear estimate for Benjamin-Ono type equations
| dc.creator | Herr, S. | |
| dc.date | 2005-09-09 | |
| dc.date.accessioned | 2026-07-07T13:00:25Z | |
| dc.date.available | 2026-07-07T13:00:25Z | |
| dc.description | A bilinear estimate in Fourier restriction norm spaces with applications to the Cauchy problem associated to u_t - |D|^αu_x + uu_x =0 is proved, for 1< α<2. As a consequence, local well-posedness in H^s(\R) \cap \dot{H}^{-ω}(\R) follows for s >-{3/4}(α-1) and ω=1/α-1/2. This extends to global well-posedness for all s \geq 0. | |
| dc.identifier | https://arxiv.org/abs/math/0509218 | |
| dc.identifier | http://arxiv.org/abs/math/0509218 | |
| dc.identifier | Extended version published as: Well-posedness for equations of Benjamin-Ono type. Illinois J. Math. (2007), Vol. 51, No. 3, pp. 951-976 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/225832 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | 35Q53 (Primary); 35B30, 35S10, 76B15 (Secondary) | |
| dc.title | An improved bilinear estimate for Benjamin-Ono type equations | |
| dc.type | text |