Dispersive Bounds for the three-dimensional Schrodinger equation with almost critical potentials
| dc.creator | Goldberg, Michael | |
| dc.date | 2004-09-19 | |
| dc.date.accessioned | 2026-07-07T06:31:23Z | |
| dc.date.available | 2026-07-07T06:31:23Z | |
| dc.description | We prove a dispersive estimate for the time-independent Schrodinger operator H = -Δ+ V in three dimensions. The potential V(x) is assumed to lie in the intersection L^p(R^3) \cap L^q(R^3), p < 3/2 < q, and also to satisfy a generic zero-energy spectral condition. This class, which includes potentials that have pointwise decay |V(x)| < C(1+|x|)^{-2-ε}, is nearly critical with respect to the natural scaling of the Laplacian. No additional regularity, decay, or positivity of V is assumed. | |
| dc.description | 17 pages | |
| dc.identifier | https://arxiv.org/abs/math/0409327 | |
| dc.identifier | http://arxiv.org/abs/math/0409327 | |
| dc.identifier | Geom. Funct. Anal., 16, no. 3 (2006), 517-536. | |
| dc.identifier | doi:10.1007/s00039-006-0568-5 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/98589 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | 35Q40 | |
| dc.title | Dispersive Bounds for the three-dimensional Schrodinger equation with almost critical potentials | |
| dc.type | text |