We obtain a partial generalization of Birkhoff’s theorem of invariant curve to higher dimesional case in the context of viscosity solutions of Hamilton-Jacobi equations, or weak KAM theory. This is a new approach after Herman’s proof.
机构:
Nanjing Normal Univ, Sch Math Sci, Nanjing 210097, Peoples R ChinaNanjing Normal Univ, Sch Math Sci, Nanjing 210097, Peoples R China
Wang, Ya-Nan
Yan, Jun
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Fudan Univ, Sch Math Sci, Shanghai 200433, Peoples R China
Shanghai Key Lab Contemporary Appl Math, Shanghai 200433, Peoples R ChinaNanjing Normal Univ, Sch Math Sci, Nanjing 210097, Peoples R China
Yan, Jun
Zhang, Jianlu
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机构:
Chinese Acad Sci, Acad Math & Syst Sci, Hua Loo Keng Key Lab Math, Beijing 100190, Peoples R China
Chinese Acad Sci, Acad Math & Syst Sci, Math Inst, Beijing 100190, Peoples R ChinaNanjing Normal Univ, Sch Math Sci, Nanjing 210097, Peoples R China
机构:
Chinese Acad Sci, Acad Math & Syst Sci, Hua Loo Keng Key Lab Math & Math Inst, Beijing 100190, Peoples R ChinaChinese Acad Sci, Acad Math & Syst Sci, Hua Loo Keng Key Lab Math & Math Inst, Beijing 100190, Peoples R China
机构:
Hua Loo-Keng Key Laboratory of Mathematics & Mathematics Institute, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing,100190, ChinaHua Loo-Keng Key Laboratory of Mathematics & Mathematics Institute, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing,100190, China