A KAM algorithm for the resonant non-linear Schrodinger equation

作者：Procesi C; Procesi M^*

来源：Advances in Mathematics, 2015, 272: 399-470.

DOI：10.1016/j.aim.2014.12.004

• Small divisor problems
• Resonant NLS
• KAM theory for PDEs

We prove, through a KAM algorithm, the existence of large families of stable and unstable quasi-periodic solutions for the NLS in any number of independent frequencies. The main tools are the existence of a non-degenerate integrable normal form proved in [26,27] and a generalization of the quasi-Toplitz functions defined in [31].

• 出版日期2015-2-26