Non-Linear Partial Differential Equations, Mathematical Physics, and Stochastic Analysis


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pp: 319–347

DOI: 10.4171/186-1/14

Dispersion estimates for spherical Schrödinger equations with critical angular momentum

Markus Holzleitner[1], Aleksey Kostenko[2] and Gerald Teschl[3]

(1) Universität Wien, Austria
(2) Universität Wien, Austria
(3) Universität Wien, Austria and Erwin Schrödinger Institut, Wien, Austria

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.

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