in Partial Differential Equations, Mathematical Physics, and Stochastic Analysis, F. Gesztesy et al. (eds), EMS Congress Reports (to appear)

Dispersion Estimates for Spherical Schrödinger Equations with Critical Angular Momentum

Markus Holzleitner, Aleksey Kostenko, and Gerald Teschl

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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