Global BV entropy solutions to the Gauss-Codazzi system

doi:10.1016/j.jmaa.2016.07.006

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	Global BV entropy solutions to the Gauss-Codazzi system
	Cao, Wentao 2
	2016-12-15
发表期刊	JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
ISSN	0022-247X
卷号	444 期号:2 页码:1015-1026
摘要	The Gauss-Codazzi system for the given metric whose Gauss curvature is negative, is considered in the present paper. We provide some suitable conditions on the given metric such that the system admits a global BV entropy solution. Our main approach is applying the method of seeking global BV entropy solutions to the hyperbolic system of balance laws to the Gauss-Codazzi system. The global existence of BV solutions to the Gauss-Codazzi system yields a C-1,C-1 isometric immersion of two dimensional manifold into R-3. (C) 2016 Elsevier Inc. All rights reserved.
关键词	BV entropy solutions Gauss-Codazzi system System of balance laws Metric
DOI	10.1016/j.jmaa.2016.07.006
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000381956400011
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/23572
专题	中国科学院数学与系统科学研究院
通讯作者	Cao, Wentao
作者单位	1.Inst Appl Math, AMSS, CAS, Beijing 100190, Peoples R China 2.Chinese Acad Sci, AMSS, Inst Appl Math, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Cao, Wentao. Global BV entropy solutions to the Gauss-Codazzi system[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,2016,444(2):1015-1026.
APA	Cao, Wentao.(2016).Global BV entropy solutions to the Gauss-Codazzi system.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,444(2),1015-1026.
MLA	Cao, Wentao."Global BV entropy solutions to the Gauss-Codazzi system".JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 444.2(2016):1015-1026.