Maximizers for the Strichartz inequality
Analysis of PDEs
2007-05-23 v3
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.
Cite
@article{arxiv.math/0404011,
title = {Maximizers for the Strichartz inequality},
author = {Damiano Foschi},
journal= {arXiv preprint arXiv:math/0404011},
year = {2007}
}
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)