KAM theorems and open problems for infinite dimensional Hamiltonian with
short range
KAM theorems and open problems for infinite dimensional Hamiltonian with
short range
Introduce several KAM theorems for infinite dimensional Hamiltonian with short range and discuss the relationship between spectra of linearized operator and invariant tori. Especially, introduce a KAM theorem in the paper(Cummun. Math. Phys. 226, 61-100 (2002)) which shows that there are rich KAM tori for a class of Hamiltonian with …