Scattering for the quartic generalised Korteweg-de Vries equation
| dc.creator | Tao, Terence | |
| dc.date | 2006-05-14 | |
| dc.date.accessioned | 2026-07-07T07:14:12Z | |
| dc.date.available | 2026-07-07T07:14:12Z | |
| dc.description | We show that the quartic generalised KdV equation $$ u_t + u_{xxx} + (u^4)_x = 0$$ is globally wellposed for data in the critical (scale-invariant) space $\dot H^{-1/6}_x(\R)$ with small norm (and locally wellposed for large norm), improving a result of Grünrock. As an application we obtain scattering results in $H^1_x(\R) \cap \dot H^{-1/6}_x(\R)$ for the radiation component of a perturbed soliton for this equation, improving the asymptotic stability results of Martel and Merle. | |
| dc.description | 28 pages, no figures, submitted, J. Diff. Eq | |
| dc.identifier | https://arxiv.org/abs/math/0605357 | |
| dc.identifier | http://arxiv.org/abs/math/0605357 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/112777 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | 35Q53 | |
| dc.title | Scattering for the quartic generalised Korteweg-de Vries equation | |
| dc.type | text |