SHARP STRICHARTZ ESTIMATES IN SPHERICAL COORDINATES

被引：0

作者：

Schippa, Robert ^{[1
]}

机构：

[1] Univ Bielefeld, Fak Math, Postfach 10 01 31, D-33501 Bielefeld, Germany

来源：

COMMUNICATIONS ON PURE AND APPLIED ANALYSIS | 2017年 / 16卷 / 06期

关键词：

Dispersive equations; Strichartz estimates; spherical symmetry; spherical averages; angular regularity;

D O I：

10.3934/cpaa.2017100

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove Strichartz estimates found after adding regularity in the spherical coordinates for Schrodinger-like equations. The obtained estimates are sharp up to endpoints. The proof relies on estimates involving spherical averages, which were obtained in [5]. We discuss sharpness making use of a modified Knapp-type example.

引用

页码：2047 / 2051

页数：5

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