Article
in Partial Differential Equations, Mathematical Physics, and Stochastic Analysis, F. Gesztesy et al. (eds), 319-347, EMS Congress Reports 14, 2018 [DOI: 10.4171/186-1/14]

Dispersion Estimates for Spherical Schrödinger Equations with Critical Angular Momentum

Markus Holzleitner, Aleksey Kostenko, and Gerald Teschl

Abstract
We derive a dispersion estimate for one-dimensional perturbed radial Schrödinger operators, where the angular momentum takes the critical value l=-1/2 . 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.

MSC2010: Primary 35Q41, 34L25; Secondary 81U30, 81Q15
Keywords: Schrödinger equation, dispersive estimates, scattering

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