Dispersive estimates for Schrodinger operators in dimensions one and three
arXiv:math/0306108 · doi:10.1007/s00220-004-1140-5
Abstract
We prove L^1 --> L^\infty estimates for linear Schroedinger equations in dimensions one and three. The potentials are only required to satisfy some mild decay assumptions. No regularity on the potentials is assumed.
20 pages. Corrected typos and improved explanatory remarks at the end
Cited by in corpus (7)
- Stable manifolds for an orbitally unstable NLS
- A counterexample to dispersive estimates for Schrödinger operators in higher dimensions
- Stable manifolds for all monic supercritical NLS in one dimension
- Spectral Theory and Nonlinear PDE: a Survey
- Asymptotic Stability and Completeness in the Energy Space for Nonlinear Schrödinger Equations with Small Solitary Waves
- Dispersive estimates for Schroedinger operators: A survey
- Dispersive estimates for Schroedinger operators in the presence of a resonance and/or an eigenvalue at zero energy in dimension three: II