Convex Hypersurfaces and $L^p$ Estimates for Schrödinger Equations
| dc.creator | Zheng, Quan | |
| dc.creator | Yao, Xiaohua | |
| dc.creator | Fan, Da | |
| dc.date | 2004-03-19 | |
| dc.date | 2004-04-27 | |
| dc.date.accessioned | 2026-07-07T05:06:33Z | |
| dc.date.available | 2026-07-07T05:06:33Z | |
| dc.description | This paper is concerned with Schrödinger equations whose principal operators are homogeneous elliptic. When the corresponding level hypersurface is convex, we show the $L^p$-$L^q$ estimate of solution operator in free case. This estimate, combining with the results of fractionally integrated groups, allows us to further obtain the $L^p$ estimate of solutions for the initial data belonging to a dense subset of $L^p$ in the case of integrable potentials. | |
| dc.description | 18 pages | |
| dc.identifier | https://arxiv.org/abs/math/0403321 | |
| dc.identifier | http://arxiv.org/abs/math/0403321 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/70512 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | Classical Analysis and ODEs | |
| dc.subject | 35J10; 42B10 | |
| dc.title | Convex Hypersurfaces and $L^p$ Estimates for Schrödinger Equations | |
| dc.type | text |