Global well-posedness for the Cauchy problem of the viscous Degasperis-Procesi equation
文献类型:期刊论文
| 作者 | Ai, Xiaolian1; Gui, Guilong2,3 |
| 刊名 | JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
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| 出版日期 | 2010-01-15 |
| 卷号 | 361期号:2页码:457-465 |
| 关键词 | Global well-posedness Viscous Degasperis-Procesi equation Picard contraction principle Bilinear estimate |
| ISSN号 | 0022-247X |
| DOI | 10.1016/j.jmaa.2009.07.031 |
| 英文摘要 | We establish the local well-posedness for the viscous Degasperis-Procesi equation. We show that the blow-up phenomena occurs in finite time. Moreover, applying the energy identity, we obtain a global existence result in the energy space. (c) 2009 Elsevier Inc. All rights reserved. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000270865400015 |
| 出版者 | ACADEMIC PRESS INC ELSEVIER SCIENCE |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/9584] ![]() |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Ai, Xiaolian |
| 作者单位 | 1.Jiangsu Univ, Dept Finance, Zhenjiang 212013, Jiangsu, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 3.Jiangsu Univ, Dept Math, Zhenjiang 212013, Jiangsu, Peoples R China |
| 推荐引用方式 GB/T 7714 | Ai, Xiaolian,Gui, Guilong. Global well-posedness for the Cauchy problem of the viscous Degasperis-Procesi equation[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,2010,361(2):457-465. |
| APA | Ai, Xiaolian,&Gui, Guilong.(2010).Global well-posedness for the Cauchy problem of the viscous Degasperis-Procesi equation.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,361(2),457-465. |
| MLA | Ai, Xiaolian,et al."Global well-posedness for the Cauchy problem of the viscous Degasperis-Procesi equation".JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 361.2(2010):457-465. |
入库方式: OAI收割
来源:数学与系统科学研究院
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