We provide an asymptotic formula for the maximal Strichartz norm of small solutions to the cubic wave equation in Minkowski space. The leading coefficient is given by Foschi’s sharp constant for the linear Strichartz estimate. We calculate the constant in the second term, which differs depending on whether the equation is focussing or defocussing. The sign of this coefficient also changes accordingly.

中文翻译：

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ℝ1 ^{+ 3中}三次波动方程的急剧的Lorentz-不变Strichartz范数展开

我们为Minkowski空间中三次波动方程的小解的最大Strichartz范数提供了一个渐近公式。对于线性Strichartz估计，超前系数由Foschi的锐常数提供。我们计算第二项中的常数，该常数根据方程式是聚焦还是散焦而有所不同。该系数的符号也相应地变化。