The cubic fourth-order Schrodinger equation
| dc.creator | Pausader, Benoit | |
| dc.date | 2008-07-30 | |
| dc.date | 2008-09-10 | |
| dc.date.accessioned | 2026-07-07T10:01:37Z | |
| dc.date.available | 2026-07-07T10:01:37Z | |
| dc.description | We investigate the cubic defocusing fourth order Schrödinger equation $iu_t + Δ^2u + |u|^2u=0$ in arbitrary space dimension $\mathbb{R}^n$ for arbitrary $H^2$ initial data. We prove that the equation is globally well-posed when $n \le 8$ and ill-posed when $n \ge 9$, with the additional important information that scattering holds true when $5 \le n \le 8$. | |
| dc.description | 38 pages, references added | |
| dc.identifier | https://arxiv.org/abs/0807.4916 | |
| dc.identifier | http://arxiv.org/abs/0807.4916 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/168689 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | 35Q40; 35Q55 | |
| dc.title | The cubic fourth-order Schrodinger equation | |
| dc.type | text |