We give several remarks on Strichartz estimates for homogeneous wave equation with special attention to the cases of Lx estimates, radial solutions and initial data from the inhomogeneous Sobolev spaces. In particular, we give the failure of the endpoint estimate L 4 n−1 t Lx for n = 2, 3 even for data in inhomogeneous Sobolev spaces.

@inproceedings{Wang2005arXI,
title={ar X iv : m at h / 05 02 50 5 v 2 [ m at h . A P ] 1 1 A ug 2 00 5 Some Remarks on Strichartz Estimates for Homogeneous Wave Equation ∗},
author={Chengbo Wang},
year={2005}
}