Endpoint Strichartz estimates for the magnetic Schrodinger equation
| dc.creator | D'Ancona, Piero | |
| dc.creator | Fanelli, Luca | |
| dc.creator | Vega, Luis | |
| dc.creator | Visciglia, Nicola | |
| dc.date | 2009-01-26 | |
| dc.date.accessioned | 2026-07-07T12:34:34Z | |
| dc.date.available | 2026-07-07T12:34:34Z | |
| dc.description | We prove Strichartz estimates for the Schroedinger equation with an electromagnetic potential, in dimension $n\geq3$. The decay and regularity assumptions on the potentials are almost critical, i.e., close to the Coulomb case. In addition, we require repulsivity and a non trapping condition, which are expressed as smallness of suitable components of the potentials. However, the potentials themselves can be large, and we avoid completely any a priori spectral assumption on the operator. The proof is based on smoothing estimates and new Sobolev embeddings for spaces associated to magnetic potentials. | |
| dc.description | 11 pages | |
| dc.identifier | https://arxiv.org/abs/0901.4024 | |
| dc.identifier | http://arxiv.org/abs/0901.4024 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/217480 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | Mathematical Physics | |
| dc.subject | 35L05; 58J45 | |
| dc.title | Endpoint Strichartz estimates for the magnetic Schrodinger equation | |
| dc.type | text |