The Cauchy problems and global solutions to the Deybe systemb and Burgers' equations in pseudomeasure spaces
文献类型：期刊论文
| 作者 | Yuan, Bao Quan |
| 刊名 | ACTA MATHEMATICA SINICA-ENGLISH SERIES
 |
| 出版日期 | 2007-03-01 |
| 卷号 | 23期号:3页码:439-448 |
| 关键词 | Burgers' equations Deybe system pseudomeasure spaces self-similar solutions asymptotic stability |
| ISSN号 | 1439-8516 |
| DOI | 10.1007/s10114-005-0864-2 |
| 英文摘要 | In this paper we consider the Cauchy problems of Burgers' equations and the Deybe system. Their existence and uniqueness of the time-global solutions for small initial data in some pseudomeasure spaces are obtained. The asymptotic stability of small solutions is proved. As an immediate result the existence and uniqueness of the self-similar solutions are also obtained provided the initial data satisfy the self-similar structures. |
| 语种 | 英语 |
| WOS记录号 | WOS:000245267900006 |
| 出版者 | SPRINGER HEIDELBERG |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/4805]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Yuan, Bao Quan |
| 作者单位 | 1.Henan Polytech Univ, Coll Math & Informat, Jiaozuo 454000, Peoples R China 2.Chinese Acad Sci, Inst Appl Math, Acad Math & Syst Sci, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Yuan, Bao Quan. The Cauchy problems and global solutions to the Deybe systemb and Burgers' equations in pseudomeasure spaces[J]. ACTA MATHEMATICA SINICA-ENGLISH SERIES,2007,23(3):439-448. |
| APA | Yuan, Bao Quan.(2007).The Cauchy problems and global solutions to the Deybe systemb and Burgers' equations in pseudomeasure spaces.ACTA MATHEMATICA SINICA-ENGLISH SERIES,23(3),439-448. |
| MLA | Yuan, Bao Quan."The Cauchy problems and global solutions to the Deybe systemb and Burgers' equations in pseudomeasure spaces".ACTA MATHEMATICA SINICA-ENGLISH SERIES 23.3(2007):439-448. |
入库方式： OAI收割
来源：数学与系统科学研究院
浏览0
下载0
收藏0
其他版本
除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。