A DECOMPOSITION FOR THE SCHRODINGER EQUATION WITH APPLICATIONS TO BILINEAR AND MULTILINEAR ESTIMATES

被引：1

作者：

Hernandez, Felipe ^{[1
]}

机构：

[1] 182 Mem Dr, Cambridge, MA 02142 USA

来源：

COMMUNICATIONS ON PURE AND APPLIED ANALYSIS | 2018年 / 17卷 / 02期

关键词：

Schrodinger equation; bilinear Strichartz; multilinear restriction; REFINEMENTS;

D O I：

10.3934/cpaa.2018034

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A new decomposition for frequency-localized solutions to the Schrodinger equation is given which describes the evolution of the wavefunction using a weighted sum of Lipschitz tubes. As an application of this decomposition, we provide a new proof of the bilinear Strichartz estimate as well as the multilinear restriction theorem for the paraboloid.

引用

页码：627 / 646

页数：20

共 13 条

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