On the rigidity of solitary waves for the focusing mass-critical NLS in dimensions $d\ge 2$
| dc.creator | Li, Dong | |
| dc.creator | Zhang, Xiaoyi | |
| dc.date | 2009-02-04 | |
| dc.date | 2009-04-10 | |
| dc.date.accessioned | 2026-07-07T13:01:52Z | |
| dc.date.available | 2026-07-07T13:01:52Z | |
| dc.description | For the focusing mass-critical NLS $iu_t+Δu=-|u|^{\frac 4d}u$, it is conjectured that the only global non-scattering solution with ground state mass must be a solitary wave up to symmetries of the equation. In this paper, we settle the conjecture for $H^1_x$ initial data in dimensions $d=2,3$ with spherical symmetry and $d\ge 4$ with certain splitting-spherically symmetric initial data. | |
| dc.description | 67 pages | |
| dc.identifier | https://arxiv.org/abs/0902.0802 | |
| dc.identifier | http://arxiv.org/abs/0902.0802 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/226294 | |
| dc.subject | Analysis of PDEs | |
| dc.title | On the rigidity of solitary waves for the focusing mass-critical NLS in dimensions $d\ge 2$ | |
| dc.type | text |