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arXiv · 2207.06350

A sharpened energy-Strichartz inequality for the wave equation

Giuseppe Negro
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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. 2022-07-13. A sharpened energy-Strichartz inequality for the wave equation. https://arxiv.org/abs/2207.06350

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