Global well-posedness for the Cauchy problem of the viscous Degasperis-Procesi equation

doi:10.1016/j.jmaa.2009.07.031

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	Global well-posedness for the Cauchy problem of the viscous Degasperis-Procesi equation
	Ai, Xiaolian 1; Gui, Guilong 2,3
	2010-01-15
发表期刊	JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
ISSN	0022-247X
卷号	361 期号:2 页码:457-465
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.
关键词	Global well-posedness Viscous Degasperis-Procesi equation Picard contraction principle Bilinear estimate
DOI	10.1016/j.jmaa.2009.07.031
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000270865400015
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/9585
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.