Global well-posedness for the generalized 2D Ginzburg-Landau equation
文献类型：期刊论文
| 作者 | Huo, Zhaohui1,2 ; Jia, Yueling3
|
| 刊名 | JOURNAL OF DIFFERENTIAL EQUATIONS
 |
| 出版日期 | 2009-07-01 |
| 卷号 | 247期号:1页码:260-276 |
| 关键词 | Generalized 2D Ginzburg-Landau equation Local well-posedness Global well-posedness [k Z]-multiplier method |
| ISSN号 | 0022-0396 |
| DOI | 10.1016/j.jde.2009.03.015 |
| 英文摘要 | 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. |
| 资助项目 | NSF of China[10601006] ; NSF of China[10701013] ; Department of Mathematics of City University of Hong Kong |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000266256900011 |
| 出版者 | ACADEMIC PRESS INC ELSEVIER SCIENCE |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/7574]  |
| 专题 | 数学所 |
| 通讯作者 | Huo, Zhaohui |
| 作者单位 | 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 |
| 推荐引用方式 GB/T 7714 | Huo, Zhaohui,Jia, Yueling. Global well-posedness for the generalized 2D Ginzburg-Landau equation[J]. JOURNAL OF DIFFERENTIAL EQUATIONS,2009,247(1):260-276. |
| APA | Huo, Zhaohui,&Jia, Yueling.(2009).Global well-posedness for the generalized 2D Ginzburg-Landau equation.JOURNAL OF DIFFERENTIAL EQUATIONS,247(1),260-276. |
| MLA | Huo, Zhaohui,et al."Global well-posedness for the generalized 2D Ginzburg-Landau equation".JOURNAL OF DIFFERENTIAL EQUATIONS 247.1(2009):260-276. |
入库方式： OAI收割
来源：数学与系统科学研究院
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