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arxiv: math/0502505 · v3 · submitted 2005-02-24 · 🧮 math.AP

Some Remarks on Strichartz Estimates for Homogeneous Wave Equation

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keywords estimatesequationgivehomogeneousinftyremarksstrichartzwave
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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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