Global viscosity solutions for eikonal equations on class A Lorentzian 2-tori

doi:10.1007/s10711-017-0261-x

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	Global viscosity solutions for eikonal equations on class A Lorentzian 2-tori
	Jin, Liang 1; Cui, Xiaojun 2
	2018-04-01
发表期刊	GEOMETRIAE DEDICATA
ISSN	0046-5755
卷号	193 期号:1 页码:155-192
摘要	On the Abelian cover (R-2, g) of a class A Lorentzian 2-torus (T-2, g), we showed the existence of global viscosity solutions to the eikonal equation g(del u, del u) = -1 associated to those homologies in the interior of the stable time cone. Some other related dynamical properties are also considered. As an application of the main results, we study the differentiability of the unit sphere of the stable time separation associated to the class A Lorentzian 2-torus.
关键词	Global viscosity solutions Lorentzian eikonal equations Class A 2-tori
DOI	10.1007/s10711-017-0261-x
语种	英语
资助项目	National Natural Science Foundation of China[11271181] ; National Natural Science Foundation of China[11571166] ; National Natural Science Foundation of China[11631006] ; Priority Academic Program Development of Jiangsu Higher Education Institutions (PAPD) ; Fundamental Research Funds for the Central Universities
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000426662600007
出版者	SPRINGER
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/29788
专题	中国科学院数学与系统科学研究院
通讯作者	Cui, Xiaojun
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 2.Nanjing Univ, Dept Math, Nanjing 210093, Jiangsu, Peoples R China
推荐引用方式 GB/T 7714	Jin, Liang,Cui, Xiaojun. Global viscosity solutions for eikonal equations on class A Lorentzian 2-tori[J]. GEOMETRIAE DEDICATA,2018,193(1):155-192.
APA	Jin, Liang,&Cui, Xiaojun.(2018).Global viscosity solutions for eikonal equations on class A Lorentzian 2-tori.GEOMETRIAE DEDICATA,193(1),155-192.
MLA	Jin, Liang,et al."Global viscosity solutions for eikonal equations on class A Lorentzian 2-tori".GEOMETRIAE DEDICATA 193.1(2018):155-192.