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Global viscosity solutions for eikonal equations on class A Lorentzian 2-tori
Jin, Liang1; Cui, Xiaojun2
2018-04-01
Source PublicationGEOMETRIAE DEDICATA
ISSN0046-5755
Volume193Issue:1Pages:155-192
AbstractOn 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.
KeywordGlobal viscosity solutions Lorentzian eikonal equations Class A 2-tori
DOI10.1007/s10711-017-0261-x
Language英语
Funding ProjectNational 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 Research AreaMathematics
WOS SubjectMathematics
WOS IDWOS:000426662600007
PublisherSPRINGER
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/29788
Collection中国科学院数学与系统科学研究院
Affiliation1.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
2.Nanjing Univ, Dept Math, Nanjing 210093, Jiangsu, Peoples R China
Recommended Citation
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.
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