Strichartz estimates for Schrodinger equations on irrational tori

被引：28

作者：

Guo, Zihua ^{[1
]}

Oh, Tadahiro ^{[3
,4
,5
]}

Wang, Yuzhao ^{[2
]}

机构：

[1] Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China

[2] North China Elect Power Univ, Dept Math & Phys, Beijing 102206, Peoples R China

[3] Univ Edinburgh, Sch Math, Edinburgh EH9 3JZ, Midlothian, Scotland

[4] Maxwell Inst Math Sci, Edinburgh EH9 3JZ, Midlothian, Scotland

[5] Princeton Univ, Dept Math, Princeton, NJ 08544 USA

来源：

PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY | 2014年 / 109卷

关键词：

CAUCHY-PROBLEM; INEQUALITIES; POINTS; BOUNDS;

D O I：

10.1112/plms/pdu025

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we prove new Strichartz estimates for linear Schrodinger equations posed on -dimensional irrational tori. Then, we use these estimates to prove subcritical and critical local well-posedness results for nonlinear Schrodinger equations on irrational tori.

引用

页码：975 / 1013

页数：39

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