A sharpened energy-Strichartz inequality for the wave equation

Published 13 Jul 2022 in math.CA and math.AP | (2207.06350v2)

Abstract: We consider the sharp Strichartz estimate for the wave equation on $\mathbb R^{1+5}$ in the energy space, due to Bez and Rogers. We show that it can be refined by adding a term proportional to the distance from the set of maximisers, in the spirit of the classical sharpened Sobolev estimate of Bianchi and Egnell.

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Giuseppe Negro

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