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.
arXiv Mathematics e-prints
- Pub Date:
- April 2004
- Mathematics - Analysis of PDEs;
- 35B45 (primary);
- 47D06 (secondary)
- 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)