GLOBAL WELL-POSEDNESS OF THE ENERGY-CRITICAL DEFOCUSING NLS ON RECTANGULAR TORI IN THREE DIMENSIONS

被引：0

作者：

Strunk, Nils ^{[1
]}

机构：

[1] Univ Bielefeld, Fak Math, D-33501 Bielefeld, Germany

来源：

DIFFERENTIAL AND INTEGRAL EQUATIONS | 2015年 / 28卷 / 11-12期

关键词：

NONLINEAR SCHRODINGER-EQUATION;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The energy-critical defocusing nonlinear Schrodinger equation on 3-dimensional rectangular tori is considered. We prove that the global well-posedness result for the standard torus of Ionescu and Pausader extends to this class of manifolds, namely, for any initial data in H-1 the solution exists globally in time.

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页码：1069 / 1084

页数：16

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