A sharp Strichartz estimate for the wave equation with data in the energy space

Details A sharp Strichartz estimate for the wave equation with data in the energy space A sharp Strichartz estimate for the wave equation with data in the energy space

2011-01-07

arxiv.org/abs/1101.1447v1

Mathematics

Analysis of PDEs

19 pages

Scientific paper

We prove a sharp bilinear estimate for the wave equation from which we obtain
the sharp constant in the Strichartz estimate which controls the
$L^4_{t,x}(\R^{5+1})$ norm of the solution in terms of the energy. We also
characterise the maximisers.

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