arXiv:math/0404011 Abstract

arXiv:math/0404011 [math.AP]Abstract References Reviews Resources

Maximizers for the Strichartz inequality

Published 2004-04-01, updated 2006-08-19Version 3

We compute explicitely the best constants and, by solving some functional equations, we find all maximizers for homogeneous Strichartz estimates for the Schrodinger equation and for the wave equation in the cases when the Lebesgue exponent is an even integer.

Comments: 32 pages (uses Tikz/PGF code for pictures). Simplified the computation of some integrals using invariance properties. Corrected a wrong proof of a lemma (thanks to the referee)

Categories: math.AP

Subjects: 35B45, 47D06

Keywords: strichartz inequality, maximizers, best constants, wave equation, functional equations

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arXiv:math/0404011 [math.AP]Abstract References Reviews Resources

Maximizers for the Strichartz inequality

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Maximizers for the Strichartz inequality

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arXiv:math/0404011 [math.AP]Abstract References Reviews Resources