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Some Remarks on Strichartz Estimates for Homogeneous Wave Equation

Daoyuan Fang·Chengbo Wang
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Abstract

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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Daoyuan Fang, Chengbo Wang. 2005-08-16. Some Remarks on Strichartz Estimates for Homogeneous Wave Equation. https://doi.org/10.1016/j.na.2005.09.040

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