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arXiv · 1910.05973

Dispersive estimates, blow-up and failure of Strichartz estimates for the Schr\"odinger equation with slowly decaying initial data

Rainer Mandel
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Abstract

The initial value problem for the homogeneous Schr\"odinger equation is investigated for radially symmetric initial data with slow decay rates and not too wild oscillations. Our global wellposedness results apply to initial data for which Strichartz estimates fail.

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Rainer Mandel. 2019-10-14. Dispersive estimates, blow-up and failure of Strichartz estimates for the Schr\"odinger equation with slowly decaying initial data. https://doi.org/10.2140/paa.2020.2.519

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