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On the Existence of a Maximizer for the Strichartz Inequality

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Abstract

It is shown that a maximizing function u *L 2 does exist for the Strichartz inequality ∥e it ∂ x 2 u∥ L 6 t (L 6 x )≤S∥u∥ L 2, with S>0 being the sharp constant.

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  1. Universität Essen, FB 6 – Mathematik, 45117, Essen, Germany

    Markus Kunze

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  1. Markus Kunze
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Correspondence to Markus Kunze.

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Communicated by B. Simon

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Kunze, M. On the Existence of a Maximizer for the Strichartz Inequality. Commun. Math. Phys. 243, 137–162 (2003). https://doi.org/10.1007/s00220-003-0959-5

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  • DOI: https://doi.org/10.1007/s00220-003-0959-5

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