Global well-posedness and scattering for the mass-critical nonlinear Schrödinger equation for radial data in high dimensions
| dc.creator | Tao, Terence | |
| dc.creator | Visan, Monica | |
| dc.creator | Zhang, Xiaoyi | |
| dc.date | 2006-09-25 | |
| dc.date | 2006-10-16 | |
| dc.date.accessioned | 2026-07-07T07:25:13Z | |
| dc.date.available | 2026-07-07T07:25:13Z | |
| dc.description | We establish global well-posedness and scattering for solutions to the defocusing mass-critical (pseudoconformal) nonlinear Schrödinger equation $iu_t + Δu = |u|^{4/n} u$ for large spherically symmetric $L^2_x(\R^n)$ initial data in dimensions $n\geq 3$. After using the reductions in \cite{compact} to reduce to eliminating blowup solutions which are almost periodic modulo scaling, we obtain a frequency-localized Morawetz estimate and exclude a mass evacuation scenario (somewhat analogously to \cite{ckstt:gwp}, \cite{RV}, \cite{thesis:art}) in order to conclude the argument. | |
| dc.description | Contains updated references and related remarks | |
| dc.identifier | https://arxiv.org/abs/math/0609692 | |
| dc.identifier | http://arxiv.org/abs/math/0609692 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/116644 | |
| dc.subject | Analysis of PDEs | |
| dc.title | Global well-posedness and scattering for the mass-critical nonlinear Schrödinger equation for radial data in high dimensions | |
| dc.type | text |