Existence and uniqueness of solutions of an asymptotic equation arising from a variational wave equation with general data

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	Existence and uniqueness of solutions of an asymptotic equation arising from a variational wave equation with general data
	Zhang, P ; Zheng, YX
	2000
发表期刊	ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS
ISSN	0003-9527
卷号	155 期号:1 页码:49-83
摘要	We establish here the global existence and uniqueness of admissible (both dissipative and conservative) weak solutions to a canonical asymptotic equation (partial derivative, v + u partial derivative (x) v + 1/2v(2) = 0, v = partial derivative (x)u) for weakly nonlinear solutions of a class of nonlinear variational wave equations with any L-2(R) initial datum. We use the method of Young measures and mollification techniques.
语种	英语
WOS研究方向	Mathematics ; Mechanics
WOS类目	Mathematics, Interdisciplinary Applications ; Mechanics
WOS记录号	WOS:000165881700002
出版者	SPRINGER-VERLAG
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/15521
专题	中国科学院数学与系统科学研究院
通讯作者	Zhang, P
作者单位	1.Acad Sinica, Inst Math, Beijing 100080, Peoples R China 2.Indiana Univ, Dept Math, Bloomington, IN 47405 USA
推荐引用方式 GB/T 7714	Zhang, P,Zheng, YX. Existence and uniqueness of solutions of an asymptotic equation arising from a variational wave equation with general data[J]. ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS,2000,155(1):49-83.
APA	Zhang, P,&Zheng, YX.(2000).Existence and uniqueness of solutions of an asymptotic equation arising from a variational wave equation with general data.ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS,155(1),49-83.
MLA	Zhang, P,et al."Existence and uniqueness of solutions of an asymptotic equation arising from a variational wave equation with general data".ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS 155.1(2000):49-83.