Long-time asymptotics for solutions of the NLS equation with initial data in a weighted Sobolev space
| dc.creator | Deift, P. | |
| dc.creator | Zhou, X. | |
| dc.date | 2002-06-21 | |
| dc.date | 2002-06-23 | |
| dc.date.accessioned | 2026-07-07T04:49:16Z | |
| dc.date.available | 2026-07-07T04:49:16Z | |
| dc.description | The authors compute the long-time asymptotics for solutions of the NLS equation just under the assumption that the initial data lies in a weighted Sobolev space. In earlier work (see e.g. [DZ1],[DIZ]) high orders of decay and smoothness are required for the initial data. The method here is a further development of the steepest descent method of [DZ1], and replaces certain absolute type estimates in [DZ1] with cancellation from oscillations. | |
| dc.identifier | https://arxiv.org/abs/math/0206222 | |
| dc.identifier | http://arxiv.org/abs/math/0206222 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/64360 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | 35B05; 35G25 | |
| dc.title | Long-time asymptotics for solutions of the NLS equation with initial data in a weighted Sobolev space | |
| dc.type | text |