On the fifth order KdV equation: local well-posedness and lack of uniform continuity of the solution map
| dc.creator | Kwon, Soonsik | |
| dc.date | 2007-08-29 | |
| dc.date.accessioned | 2026-07-07T08:26:26Z | |
| dc.date.available | 2026-07-07T08:26:26Z | |
| dc.description | In this paper we prove that the fifth order equation arising from the KdV hierarchy $ \partial_tu + \partial_x^5u + c_1\partial_x u\partial_x^2u + c_2u\partial_x^3u = 0 $ is locally well-posed in $ H^s(\mathbb{R}) $ for $ s> 5/2. Also, we prove the solution map of the equation is not uniformly continuous for $s>0$. | |
| dc.description | 30 pages | |
| dc.identifier | https://arxiv.org/abs/0708.4010 | |
| dc.identifier | http://arxiv.org/abs/0708.4010 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/136940 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | 35J53 | |
| dc.title | On the fifth order KdV equation: local well-posedness and lack of uniform continuity of the solution map | |
| dc.type | text |