STRICHARTZ TYPE ESTIMATES FOR SOLUTIONS TO THE SCHRÔDINGER EQUATION

被引:0
|
作者
Chen, Jie [1 ]
机构
[1] Jimei Univ, Sch Sci, Xiamen 361021, Peoples R China
关键词
Schr & ocirc; dinger equation; Strichartz estimate; Bourgain space; SCHRODINGER; WAVE;
D O I
10.1090/proc/16887
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this article, we show the necessary and sufficient conditions for the inequality IIuIILqtLrx IIuIIXs,b, where IIuIIXs,b := IIu(tau, xi)(xi)s(tau+I xi I2)bIIL2 tau,xi . These estimates are also referred to as Strichartz estimates related to Schr & ocirc;dinger equation. We also give a new proof of the maximal function estimates for solutions to Schr & ocirc;dinger and Airy equations.
引用
收藏
页码:3941 / 3953
页数:13
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