A Sharp Sobolev--Strichartz estimate for the wave equation

preprint2014arXivOpen access

Abstract

We calculate the the sharp constant and characterise the extremal initial data in H˙34×H˙−14\dot{H}^{\frac{3}{4}}\times\dot{H}^{-\frac{1}{4}} for the L4L^4 Sobolev--Strichartz estimate for the wave equation in four space dimensions.

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