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Global endpoint Strichartz estimates for Schrödinger equations on the cylinder R×T
Nonlinear Analysis ( IF 1.3 ) Pub Date : 2021-02-02 , DOI: 10.1016/j.na.2020.112172
Alexander Barron , Michael Christ , Benoit Pausader

We prove global in time Strichartz estimates on the semi-periodic cylinder with initial data in L2. This extends the local results of Takaoka-Tzvetkov [13] and the global estimates with loss of derivatives of Hani-Pausader [9] and Barron [1].



中文翻译:

圆柱体上Schrödinger方程的全局端点Strichartz估计 [R׍

我们用时间在L上的初始数据证明了Strichartz在半周期圆柱体上的全局估计2。这扩展了Takaoka-Tzvetkov [13]的局部结果以及Hani-Pausader [9]和Barron [1]的衍生品损失的全球估计。

更新日期:2021-02-02
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