TY  - JOUR
ID  - Holzleitner2016
LB  - Holzleitner2016
AU  - Holzleitner, Markus
AU  - Kostenko, Aleksey
AU  - Teschl, Gerald
TI  - Dispersion estimates for spherical Schrödinger equations: the effect of boundary conditions
ST  - Dispersion estimates for spherical Schrödinger equations: the effect of boundary conditions
JO  - Opuscula Math.
JA  - Opuscula Math.
JF  - Opuscula Mathematica
PY  - 2016
VL  - 36
IS  - 6
SP  - 769
EP  - 786
DO  - http://dx.doi.org/10.7494/OpMath.2016.36.6.769
UR  - http://dx.doi.org/10.7494/OpMath.2016.36.6.769
AB  - 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.
KW  - Schrödinger equation
KW  - dispersive estimates
KW  - scattering
SN  - 1232-9274
ER  -