The well-posedness of Cauchy problem for dissipative modified Korteweg de Vries equations
| dc.creator | Chen, Wengu | |
| dc.creator | Li, Junfeng | |
| dc.creator | Miao, Changxing | |
| dc.date | 2007-01-22 | |
| dc.date.accessioned | 2026-07-07T10:12:32Z | |
| dc.date.available | 2026-07-07T10:12:32Z | |
| dc.description | In this paper we consider some dissipative versions of the modified Korteweg de Vries equation $u_t+u_{xxx}+|D_x|^αu+u^2u_x=0$ with $0<α\leq 3$. We prove some well-posedness results on the associated Cauchy problem in the Sobolev spaces $H^s({\Bbb R})$ for $s>1/4-α/4$ on the basis of the $[k; Z]-$multiplier norm estimate obtained by Tao in \cite{Tao} for KdV equation. | |
| dc.description | 20 pages | |
| dc.identifier | https://arxiv.org/abs/math/0701602 | |
| dc.identifier | http://arxiv.org/abs/math/0701602 | |
| dc.identifier | Differential and Integral Equations Volume 20, Number 11(2007)1285-1301 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/172211 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | 35Q53, 35A07 | |
| dc.title | The well-posedness of Cauchy problem for dissipative modified Korteweg de Vries equations | |
| dc.type | text |