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arXiv · 2208.08822

A deterministic counterexample for high dimensional $ L^2 L^{\infty} $ Strichartz estimates for the Wave equation

Cristian Gavrus
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Abstract

In this note we discuss the question of homogeneous $ L^2 L^{\infty} $ Strichartz estimates for the Wave equation in dimensions $ n \geq 4 $ raised by Fang and Wang and recently shown to fail by Guo, Li, Nakanishi and Yan using probability theory. We record a deterministic example for disproving this estimate.

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Cristian Gavrus. 2022-08-18. A deterministic counterexample for high dimensional $ L^2 L^{\infty} $ Strichartz estimates for the Wave equation. https://arxiv.org/abs/2208.08822

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