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Some Remarks on Strichartz Estimates for Homogeneous Wave Equation

Daoyuan Fang, Chengbo Wang

Published 2005-02-24, updated 2005-08-16Version 3

We give several remarks on Strichartz estimates for homogeneous wave equation with special attention to the cases of $L^\infty_x$ estimates, radial solutions and initial data from the inhomogeneous Sobolev spaces. In particular, we give the failure of the endpoint estimate $L^4_t L^\infty_x$ for $n=2$.

Comments: 9 pages with 5 figures; some typos corrected
Journal: Nonlinear Analysis 65 (2006) 697-706
Categories: math.AP
Subjects: 35L05
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