Weak Dispersive estimates for Schrödinger equations with long range potentials
| dc.creator | Bercelo, J. A. | |
| dc.creator | Ruiz, A. | |
| dc.creator | Vega, L. | |
| dc.creator | Vilela, M. C. | |
| dc.date | 2008-02-15 | |
| dc.date.accessioned | 2026-07-07T09:21:11Z | |
| dc.date.available | 2026-07-07T09:21:11Z | |
| dc.description | We prove some local smoothing estimates for the Schrödinger initial value problem with data in $L^2(\mathbb{R}^d)$, $d \geq 2$ and a general class of potentials. In the repulsive setting we have to assume just a power like decay $(1+|x|)^{-γ}$ for some $γ>0$. Also attractive perturbations are considered. The estimates hold for all time and as a consequence a weak dispersion of the solution is obtained. The proofs are based on similar estimates for the corresponding stationary Helmholtz equation and Kato H-smooth theory. | |
| dc.description | 29 pages | |
| dc.identifier | https://arxiv.org/abs/0802.2161 | |
| dc.identifier | http://arxiv.org/abs/0802.2161 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/154932 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | Mathematical Physics | |
| dc.subject | 35Q40; 35P25 | |
| dc.title | Weak Dispersive estimates for Schrödinger equations with long range potentials | |
| dc.type | text |