The global well-posedness and spatial decay of solutions for the derivative complex Ginzburg-Landau equation in H1

被引：9
|
作者：
Wang, BX [1 ]
Guo, BL
Zhao, LF
机构：
[1] Peking Univ, Dept Math, Beijing 100871, Peoples R China
[2] Inst Appl Phys & Computat Math, Beijing 100088, Peoples R China
[3] Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2004年 / 57卷 / 7-8期
基金：
美国国家科学基金会;
关键词：
derivative Ginzburg-Landau equation; critical and suberitical powers in H-1; global well-posedness; spatial decaying rate;
D O I：
10.1016/j.na.2004.03.032
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The global well-posedness for the Cauchy problem of the derivative complex Ginzburg-Landau equation is shown in the H-1-critical and H-1-subcritical cases. A spatial decaying estimate of solutions in H-1 is also obtained and the decaying rate is independent of time t epsilon [0, infinity). (C) 2004 Elsevier Ltd. All rights reserved.
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页码：1059 / 1076
页数：18
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