@Article{Holzleitner2016,
author = "Holzleitner, Markus and Kostenko, Aleksey and Teschl, Gerald",
title = "Dispersion estimates for spherical Schrödinger equations: the effect of boundary conditions",
journal = "Opuscula Math.",
year = "2016",
volume = "36",
number = "6",
pages = "769--786",
doi = "http://dx.doi.org/10.7494/OpMath.2016.36.6.769",
url = "http://dx.doi.org/10.7494/OpMath.2016.36.6.769",
abstract = "We investigate the dependence of the \(L^1\to L^{\infty}\) dispersive estimates for one-dimensional radial Schrödinger operators on boundary conditions at \(0\). In contrast to the case of additive perturbations, we show that the change of a boundary condition at zero results in the change of the dispersive decay estimates if the angular momentum is positive, \(l\in (0,1/2)\). However, for nonpositive angular momenta, \(l\in (-1/2,0]\), the standard \(O(|t|^{-1/2})\) decay remains true for all self-adjoint realizations.",
keywords = "Schrödinger equation, dispersive estimates, scattering",
issn = "1232-9274"
}