Strichartz estimates for the Schrodinger equation on irrational tori

被引：23

作者：

Deng, Yu ^{[1
]}

Germain, Pierre ^{[1
]}

Guth, Larry ^{[2
]}

机构：

[1] NYU, Courant Inst Math Sci, 251 Mercer St, New York, NY 10012 USA

[2] MIT, Dept Math, 182 Mem Dr, Cambridge, MA 02139 USA

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 2017年 / 273卷 / 09期

基金：

美国国家科学基金会;

关键词：

Linear Schrodinger equation; Strichartz estimates; Irrational tori; INEQUALITIES; SURFACES;

D O I：

10.1016/j.jfa.2017.05.011

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove Strichartz estimates over large time scales for the Schrodinger equation set on irrational tori. They are optimal for Lebesgue exponents p > 6. (C) 2017 Elsevier Inc. All rights reserved.

引用

收藏

页码：2846 / 2869

页数：24

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