In this paper,an infinite dimensional KAM theorem with unbounded perturbations and double normal frequencies is established under qualitative non-degenerate conditions.This is an extension of the degenerate KAM theore...In this paper,an infinite dimensional KAM theorem with unbounded perturbations and double normal frequencies is established under qualitative non-degenerate conditions.This is an extension of the degenerate KAM theorem with bounded perturbations by Bambusi,Berti,Magistrelli,and us.As applications,for derivative nonlinear Schrödinger equation with periodic boundary conditions,quasi-periodic solutions around constant solutions are obtained.展开更多
基金supported by NNSFC(Grant No.11971299)supported by NNSFC(Grant Nos.12090010,12090013)。
文摘In this paper,an infinite dimensional KAM theorem with unbounded perturbations and double normal frequencies is established under qualitative non-degenerate conditions.This is an extension of the degenerate KAM theorem with bounded perturbations by Bambusi,Berti,Magistrelli,and us.As applications,for derivative nonlinear Schrödinger equation with periodic boundary conditions,quasi-periodic solutions around constant solutions are obtained.
