Article

**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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