A KAM Result on Compact Lie Groups

作者：Corsi Livia; Haus Emanuele; Procesi Michela^*

来源：Acta Applicandae Mathematicae, 2015, 137(1): 41-59.

DOI：10.1007/s10440-014-9990-0

• Quasi-periodic solutions for PDEs
• Small divisor problems
• Non-linear Schrodinger equation

We describe some recent results on existence of quasi-periodic solutions of Hamiltonian PDEs on compact manifolds. We prove a linear stability result for the non-linear Schrodinger equation in the case of SU(2) and SO(3).

• 出版日期2015-6