Dynamics for the energy critical nonlinear Schrödinger equation in high dimensions
| dc.creator | Li, Dong | |
| dc.creator | Zhang, Xiaoyi | |
| dc.date | 2009-02-04 | |
| dc.date.accessioned | 2026-07-07T12:38:10Z | |
| dc.date.available | 2026-07-07T12:38:10Z | |
| dc.description | In \cite{duck-merle}, T. Duyckaerts and F. Merle studied the variational structure near the ground state solution $W$ of the energy critical NLS and classified the solutions with the threshold energy $E(W)$ in dimensions $d=3,4,5$ under the radial assumption. In this paper, we extend the results to all dimensions $d\ge 6$. The main issue in high dimensions is the non-Lipschitz continuity of the nonlinearity which we get around by making full use of the decay property of $W$. | |
| dc.description | 30 Pages. To appear JFA | |
| dc.identifier | https://arxiv.org/abs/0902.0807 | |
| dc.identifier | http://arxiv.org/abs/0902.0807 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/218661 | |
| dc.subject | Analysis of PDEs | |
| dc.title | Dynamics for the energy critical nonlinear Schrödinger equation in high dimensions | |
| dc.type | text |