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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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