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Regularity of solutions to the free Schrödinger equation with radial initial data

M. C. Vilela

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Source: Crossref

Published: Apr 1, 2001

DOI: 10.1215/ijm/1258138345

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Source abstract

We derive weighted smoothing inequalities for solutions of the free Schrödinger equation. As an application, we give a new proof of the endpoint Strichartz estimates in the radial case. We also consider general dispersive equations and obtain similar estimates in this case.

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Regularity of solutions to the free Schrödinger equation with radial initial data — Mathematical Frontier Network