English

A KAM result on compact Lie groups

Analysis of PDEs 2018-12-20 v1

Abstract

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 Schr\"odinger equation in the case of SU(2)SU(2) and SO(3)SO(3).

Keywords

Cite

@article{arxiv.1411.0293,
  title  = {A KAM result on compact Lie groups},
  author = {Livia Corsi and Emanuele Haus and Michela Procesi},
  journal= {arXiv preprint arXiv:1411.0293},
  year   = {2018}
}

Comments

20 pages, 1 figure

R2 v1 2026-06-22T06:45:04.045Z