Some Remarks on Strichartz Estimates for Homogeneous Wave Equation

Details Some Remarks on Strichartz Estimates for Homogeneous Wave Equation Some Remarks on Strichartz Estimates for Homogeneous Wave Equation

2005-02-24

arxiv.org/abs/math/0502505v3

Nonlinear Analysis 65 (2006) 697-706

Mathematics

Analysis of PDEs

9 pages with 5 figures; some typos corrected

Scientific paper

10.1016/j.na.2005.09.040

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 $n=2$.

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