A deterministic counterexample for high dimensional L2 L∞ Strichartz estimates for the Wave equation

Abstract

In this note we discuss the question of homogeneous L2 L∞ Strichartz estimates for the Wave equation in dimensions n ≥ 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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