Strichartz estimates for Schrödinger operators with a non-smooth magnetic potential
| dc.creator | Goldberg, Michael | |
| dc.date | 2008-03-31 | |
| dc.date.accessioned | 2026-07-07T09:29:36Z | |
| dc.date.available | 2026-07-07T09:29:36Z | |
| dc.description | We prove Strichartz estimates for the absolutely continuous evolution of a Schrödinger operator $H = (i\nabla + A)^2 + V$ in $\R^n$, $n > 2$. Both the magnetic and electric potentials are time-independent and satisfy pointwise polynomial decay bounds. The vector potential $A(x)$ is assumed to be continuous but need not possess any Sobolev regularity. This work is a refinement of previous methods, which required extra conditions on ${\rm div} A$ or $|\nabla|^{\frac12}A$ in order to place the first order part of the perturbation within a suitable class of pseudo-differential operators. | |
| dc.description | 12 pages | |
| dc.identifier | https://arxiv.org/abs/0804.0034 | |
| dc.identifier | http://arxiv.org/abs/0804.0034 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/157845 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | 35Q40 | |
| dc.title | Strichartz estimates for Schrödinger operators with a non-smooth magnetic potential | |
| dc.type | text |