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arxiv: 1407.1603 · v1 · pith:IBFPG4MWnew · submitted 2014-07-07 · 🧮 math.AP · math.CA

A Sharp Sobolev--Strichartz estimate for the wave equation

classification 🧮 math.AP math.CA
keywords equationestimatefracsharpsobolev--strichartzwavecalculatecharacterise
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We calculate the the sharp constant and characterise the extremal initial data in $\dot{H}^{\frac{3}{4}}\times\dot{H}^{-\frac{1}{4}}$ for the $L^4$ Sobolev--Strichartz estimate for the wave equation in four space dimensions.

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