Existence and uniqueness of solutions for a non-uniformly parabolic equation

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	Existence and uniqueness of solutions for a non-uniformly parabolic equation
	Wang, JH ; Warnecke, G
	2003-03-20
发表期刊	JOURNAL OF DIFFERENTIAL EQUATIONS
ISSN	0022-0396
卷号	189 期号:1 页码:1-16
摘要	In this paper, we study a generalized Burgers equation u(t) + (u(2))(x) = tu(xx), which is a non-uniformly parabolic equation for t > 0. We show the existence and uniqueness of classical solutions to the initial-value problem of the generalized Burgers equation with rough initial data belonging to L-infinity (R). (C) 2002 Elsevier Science (USA). All rights reserved.
关键词	non-uniformly parabolic equation existence uniqueness classical solutions
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000181781800001
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/18969
专题	中国科学院数学与系统科学研究院
通讯作者	Warnecke, G
作者单位	1.Otto Von Guericke Univ, Inst Anal & Numer, D-39016 Magdeburg, Germany 2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Syst Sci, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Wang, JH,Warnecke, G. Existence and uniqueness of solutions for a non-uniformly parabolic equation[J]. JOURNAL OF DIFFERENTIAL EQUATIONS,2003,189(1):1-16.
APA	Wang, JH,&Warnecke, G.(2003).Existence and uniqueness of solutions for a non-uniformly parabolic equation.JOURNAL OF DIFFERENTIAL EQUATIONS,189(1),1-16.
MLA	Wang, JH,et al."Existence and uniqueness of solutions for a non-uniformly parabolic equation".JOURNAL OF DIFFERENTIAL EQUATIONS 189.1(2003):1-16.