The initial value problem for a third order dispersive equation on the two-dimensional torus
| dc.creator | Chihara, Hiroyuki | |
| dc.date | 2004-04-01 | |
| dc.date | 2004-05-01 | |
| dc.date.accessioned | 2026-07-07T05:06:58Z | |
| dc.date.available | 2026-07-07T05:06:58Z | |
| dc.description | We present the necessary and sufficient condition for the $L^2$-well-posedness of the initial problem for a third order linear dispersive equation on the two dimensional torus. Birkhoff's method of asymptotic solutions is used to prove the necessity. Some properties of a system for quadratic algebraic equations associated to the principal symbol play crucial role in proving the sufficiency. | |
| dc.description | 7 pages, no figure | |
| dc.identifier | https://arxiv.org/abs/math/0404006 | |
| dc.identifier | http://arxiv.org/abs/math/0404006 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/70675 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | Classical Analysis and ODEs | |
| dc.subject | 35G10 | |
| dc.title | The initial value problem for a third order dispersive equation on the two-dimensional torus | |
| dc.type | text |