论文标题

在2D模型凸域上对波方程估算的新反面样本

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

论文作者

Ivanovici, Oana, Lebeau, Gilles, Planchon, Fabrice

论文摘要

我们证明,与由于第一作者的已知反例相比,模型2D凸域上的Strichartz估计范围可能会受到进一步的限制。现在,我们的新的反例家庭建立在我们较早的工作中的参数结构上。有趣的是,至少在相位空间的某些区域中很敏锐。

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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