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.
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页码：2047 / 2051
页数：5
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