Maximizers for the Strichartz inequality
Abstract
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.
 Publication:

arXiv Mathematics eprints
 Pub Date:
 April 2004
 arXiv:
 arXiv:math/0404011
 Bibcode:
 2004math......4011F
 Keywords:

 Mathematics  Analysis of PDEs;
 35B45 (primary);
 47D06 (secondary)
 EPrint:
 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)