二维模型凸域波动方程Strichartz估计的新反例

Journal de l’École polytechnique — Mathématiques Pub Date : 2020-08-06 DOI:10.5802/jep.168

Oana Ivanovici, G. Lebeau, F. Planchon

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引用次数: 7

摘要

我们证明了与已知的反例相比，模型二维凸域上的Strichartz估计的范围可能会进一步受到限制。我们新的反例家族现在建立在我们早期工作的参数结构基础上。有趣的是，它至少在相空间的某些区域是尖锐的。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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New counterexamples to Strichartz estimates for the wave equation on a 2D model convex domain

We prove that the range of Strichartz estimates on a model 2D convex domain may be further restricted compared to the known counterexamples due to the first author. Our new family of counterexamples is now built on the parametrix construction from our earlier work. Interestingly enough, it is sharp in at least some regions of phase space.

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Journal de l’École polytechnique — Mathématiques

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