We prove a sharp bilinear estimate for the wave equation from which we obtain the sharp constant in the Strichartz estimate which controls the norm of the solution in terms of the energy. We also characterise the maximisers.
Cite this article
Neal Bez, Keith M. Rogers, A sharp Strichartz estimate for the wave equation with data in the energy space. J. Eur. Math. Soc. 15 (2013), no. 3, pp. 805–823