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 af...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.展开更多
基金supported by the National Basic Research Program of China(Grant No.2007CB814800)National Natural Science Foundation of China(Grant No.10301012)
文摘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.
