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Some Remarks on Strichartz Estimates for Homogeneous Wave Equation

Daoyuan Fang, Chengbo Wang

math.AParXiv:math/0502505

Abstract

We give several remarks on Strichartz estimates for homogeneous wave equation with special attention to the cases of L∞x estimates, radial solutions and initial data from the inhomogeneous Sobolev spaces. In particular, we give the failure of the endpoint estimate L4t L∞x for n=2.

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