# American Institute of Mathematical Sciences

November  2017, 16(6): 2047-2051. doi: 10.3934/cpaa.2017100

## Sharp Strichartz estimates in spherical coordinates

 Fakultät für Mathematik, Universität Bielefeld, Postfach 10 01 31,33501 Bielefeld, Germany

* Corresponding author

Received  November 2016 Revised  May 2017 Published  July 2017

Fund Project: Financial support by the German Science Foundation (IRTG 2235) is gratefully acknowledged

We prove Strichartz estimates found after adding regularity in the spherical coordinates for Schrödinger-like equations. The obtained estimates are sharp up to endpoints. The proof relies on estimates involving spherical averages, which were obtained in [5]. We discuss sharpness making use of a modified Knapp-type example.

Citation: Robert Schippa. Sharp Strichartz estimates in spherical coordinates. Communications on Pure & Applied Analysis, 2017, 16 (6) : 2047-2051. doi: 10.3934/cpaa.2017100
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