Characterization of minimal-mass blowup solutions to the focusing mass-critical NLS
| dc.creator | Killip, Rowan | |
| dc.creator | Li, Dong | |
| dc.creator | Visan, Monica | |
| dc.creator | Zhang, Xiaoyi | |
| dc.date | 2008-04-07 | |
| dc.date | 2008-11-08 | |
| dc.date.accessioned | 2026-07-07T10:16:38Z | |
| dc.date.available | 2026-07-07T10:16:38Z | |
| dc.description | Let $d\geq 4$ and let $u$ be a global solution to the focusing mass-critical nonlinear Schrödinger equation $iu_t+Δu=-|u|^{\frac 4d}u$ with spherically symmetric $H_x^1$ initial data and mass equal to that of the ground state $Q$. We prove that if $u$ does not scatter then, up to phase rotation and scaling, $u$ is the solitary wave $e^{it}Q$. Combining this result with that of Merle \cite{merle2}, we obtain that in dimensions $d\geq 4$, the only spherically symmetric minimal-mass blowup solutions are, up to phase rotation and scaling, the pseudo-conformal ground state and the solitary wave. | |
| dc.description | 17 pages | |
| dc.identifier | https://arxiv.org/abs/0804.1124 | |
| dc.identifier | http://arxiv.org/abs/0804.1124 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/173572 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | 35Q55 | |
| dc.title | Characterization of minimal-mass blowup solutions to the focusing mass-critical NLS | |
| dc.type | text |