Well-posedness of Cauchy problem for the fourth order nonlinear Schrodinger equations in multi-dimensional spaces
文献类型：期刊论文
| 作者 | Hao, Chengchun ; Hsiao, Ling; Wang, Baoxiang
|
| 刊名 | JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
 |
| 出版日期 | 2007-04-01 |
| 卷号 | 328期号:1页码:58-83 |
| 关键词 | fourth order nonlinear Schrodinger equations Cauchy problem well-posedness smoothing effects |
| ISSN号 | 0022-247X |
| DOI | 10.1016/j.jmaa.2006.05.031 |
| 英文摘要 | We study the well-posedness of Cauchy problem for the fourth order nonlinear Schrodinger equations ia(1)u = -Delta u + Delta(2)u + P((a(x)(alpha)u)(vertical bar alpha vertical bar <= 2), (a(x)(alpha)u)(vertical bar alpha vertical bar <= 2)), t is an element of R, x is an element of R", where epsilon is an element of {-1, 0, 1}, n >= 2 denotes the spatial dimension and P((.)) is a polynomial excluding constant and linear terms. (c) 2006 Elsevier Inc. All rights reserved. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000243800100006 |
| 出版者 | ACADEMIC PRESS INC ELSEVIER SCIENCE |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/4847]  |
| 专题 | 数学所 |
| 通讯作者 | Hao, Chengchun |
| 作者单位 | 1.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China 2.Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China |
| 推荐引用方式 GB/T 7714 | Hao, Chengchun,Hsiao, Ling,Wang, Baoxiang. Well-posedness of Cauchy problem for the fourth order nonlinear Schrodinger equations in multi-dimensional spaces[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,2007,328(1):58-83. |
| APA | Hao, Chengchun,Hsiao, Ling,&Wang, Baoxiang.(2007).Well-posedness of Cauchy problem for the fourth order nonlinear Schrodinger equations in multi-dimensional spaces.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,328(1),58-83. |
| MLA | Hao, Chengchun,et al."Well-posedness of Cauchy problem for the fourth order nonlinear Schrodinger equations in multi-dimensional spaces".JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 328.1(2007):58-83. |
入库方式： OAI收割
来源：数学与系统科学研究院
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