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.
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页码：260 / 276
页数：17
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