The mass-critical nonlinear Schrödinger equation with radial data in dimensions three and higher
| dc.creator | Killip, Rowan | |
| dc.creator | Visan, Monica | |
| dc.creator | Zhang, Xiaoyi | |
| dc.date | 2007-08-06 | |
| dc.date.accessioned | 2026-07-07T08:22:32Z | |
| dc.date.available | 2026-07-07T08:22:32Z | |
| dc.description | We establish global well-posedness and scattering for solutions to the mass-critical nonlinear Schrödinger equation $iu_t + Δu = \pm |u|^{4/d} u$ for large spherically symmetric L^2_x(R^d) initial data in dimensions $d\geq 3$. In the focusing case we require that the mass is strictly less than that of the ground state. As a consequence, we obtain that in the focusing case, any spherically symmetric blowup solution must concentrate at least the mass of the ground state at the blowup time. | |
| dc.identifier | https://arxiv.org/abs/0708.0849 | |
| dc.identifier | http://arxiv.org/abs/0708.0849 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/135683 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | 35Q55 | |
| dc.title | The mass-critical nonlinear Schrödinger equation with radial data in dimensions three and higher | |
| dc.type | text |