Well-posedness of fractional Ginzburg-Landau equation in Sobolev spaces

被引：8
|
作者：
Li, Jingna [1 ]
Xia, Li [2 ]
机构：
[1] Jinan Univ, Dept Math, Guangzhou 510632, Guangdong, Peoples R China
[2] Shenzhen Univ, Dept Math, Shenzhen 518060, Peoples R China
来源：
APPLICABLE ANALYSIS | 2013年 / 92卷 / 05期
基金：
美国国家科学基金会;
关键词：
fractional Ginzburg-Landau equation; well-posedness; Sobolev space; Gevrey regularity;
D O I：
10.1080/00036811.2011.649733
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This article is concerned with real fractional GinzburgLandau equation. Existence and uniqueness of local and global mild solution for both whole space case and flat torus case are obtained by contraction semigroup method, and Gevrey regularity of mild solution for flat torus case is discussed.
引用
收藏
页码：1074 / 1084
页数：11
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