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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
Source PublicationARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS
ISSN0003-9527
Volume155Issue:1Pages:49-83
AbstractWe 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.
Language英语
WOS Research AreaMathematics ; Mechanics
WOS SubjectMathematics, Interdisciplinary Applications ; Mechanics
WOS IDWOS:000165881700002
PublisherSPRINGER-VERLAG
Citation statistics
Cited Times:54[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/15521
Collection中国科学院数学与系统科学研究院
Affiliation1.Acad Sinica, Inst Math, Beijing 100080, Peoples R China
2.Indiana Univ, Dept Math, Bloomington, IN 47405 USA
Recommended Citation
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.
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