Spherically averaged endpoint Strichartz estimates for the two-dimensional Schrödinger equation
| dc.creator | Tao, Terence | |
| dc.date | 1998-11-29 | |
| dc.date | 2004-10-20 | |
| dc.date.accessioned | 2026-07-07T05:27:02Z | |
| dc.date.available | 2026-07-07T05:27:02Z | |
| dc.description | The endpoint Strichartz estimates for the Schrödinger equation are known to be false in two dimensions. However, if one averages the solution in $L^2$ in the angular variable, we show that the homogeneous endpoint and the retarded half-endpoint estimates hold, but the full retarded endpoint fails. In particular, the original versions of these estimates hold for radial data. | |
| dc.description | 8 pages, minor typos corrected | |
| dc.identifier | https://arxiv.org/abs/math/9811168 | |
| dc.identifier | http://arxiv.org/abs/math/9811168 | |
| dc.identifier | Comm. PDE 25 (2000), 1471-1485 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/77773 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | 35J10 | |
| dc.title | Spherically averaged endpoint Strichartz estimates for the two-dimensional Schrödinger equation | |
| dc.type | text |