KdV and Almost Conservation Laws
| dc.creator | Staffilani, Gigliola | |
| dc.date | 2002-03-31 | |
| dc.date.accessioned | 2026-07-07T04:47:21Z | |
| dc.date.available | 2026-07-07T04:47:21Z | |
| dc.description | This short survey paper is concerned with a new method to prove global well-posedness results for dispersive equations below energy spaces, namely $H^{1}$ for the Schrödinger equation and $L^{2}$ for the KdV equation. The main ingredient of this method is the definition of a family of what we call almost conservation laws. In particular we analyze the Korteweg-de Vries initial value problem and we illustrate in general terms how the ``algorithm'' that we use to formally generate almost conservation laws can be used to recover the infinitely many conserved integrals that make the KdV an integrable system. | |
| dc.description | 15 pages. This paper will appear in the AMS Proceedings of the Conference on Harmonic Analysis held at Mt. Holyoke College, June 24 - July 5, 2001 | |
| dc.identifier | https://arxiv.org/abs/math/0204014 | |
| dc.identifier | http://arxiv.org/abs/math/0204014 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/63685 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | 35Q53 42B35 37K10 | |
| dc.title | KdV and Almost Conservation Laws | |
| dc.type | text |