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arXiv · 1504.05744

Zero Energy Scattering for One-Dimensional Schrödinger Operators and Applications to Dispersive Estimates

Iryna Egorova·Markus Holzleitner·Gerald Teschl
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Abstract

We show that for a one-dimensional Schrödinger operator with a potential whose (j+1)'th moment is integrable the j'th derivative of the scattering matrix is in the Wiener algebra of functions with integrable Fourier transforms. We use this result to improve the known dispersive estimates with integrable time decay for the one-dimensional Schrödinger equation in the resonant case.

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Iryna Egorova, Markus Holzleitner, Gerald Teschl. 2015-12-08. Zero Energy Scattering for One-Dimensional Schrödinger Operators and Applications to Dispersive Estimates. https://doi.org/10.1090/bproc%2F19

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