Dispersion Estimates for One-Dimensional Schr\"odinger Equations with Singular Potentials
Spectral Theory
2016-10-13 v2 Mathematical Physics
Analysis of PDEs
math.MP
Abstract
We derive a dispersion estimate for one-dimensional perturbed radial Schr\"odinger operators. We also derive several new estimates for solutions of the underlying differential equation and investigate the behavior of the Jost function near the edge of the continuous spectrum.
Cite
@article{arxiv.1504.03015,
title = {Dispersion Estimates for One-Dimensional Schr\"odinger Equations with Singular Potentials},
author = {Aleksey Kostenko and Gerald Teschl and Julio H. Toloza},
journal= {arXiv preprint arXiv:1504.03015},
year = {2016}
}
Comments
26 pages