Global well-posedness for the generalized 2D Ginzburg-Landau equation

被引：18

作者：

Huo, Zhaohui ^{[1
,2
]}

Jia, Yueling ^{[3
]}

机构：

[1] Chinese Acad Sci, Inst Math, Acad Math & Syst Sci, Beijing 100190, Peoples R China

[2] City Univ Hong Kong, Dept Math, Hong Kong, Hong Kong, Peoples R China

[3] Inst Appl Phys & Computat Math, Beijing 100088, Peoples R China

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2009年 / 247卷 / 01期

关键词：

Generalized 2D Ginzburg-Landau equation; Local well-posedness; Global well-posedness; k; Z]-multiplier method; CAUCHY-PROBLEM;

D O I：

10.1016/j.jde.2009.03.015

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The local well-posedness for the generalized two-dimensional (2D) Ginzburg-Landau equation is obtained for initial data in H-s(R-2) (s > 1/2). The global result is also obtained in H-s(R-2) (s > 1/2) under some conditions. The results on local and global well-posedness are sharp except the endpoint s = 1/2. We mainly use the Tao's [k; Z]-multiplier method to obtain the trilinear and multilinear estimates. (C) 2009 Elsevier Inc. All rights reserved.

引用

页码：260 / 276

页数：17

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