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 Schrödinger equation in the case of SU(2) and SO(3).
Corsi, L., Haus, E., & Procesi, M. (2015). A KAM Result on Compact Lie Groups. ACTA APPLICANDAE MATHEMATICAE, 137(1), 41-59 [10.1007/s10440-014-9990-0].
A KAM Result on Compact Lie Groups
Corsi, Livia;Haus, Emanuele;PROCESI, MICHELA
2015
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 Schrödinger equation in the case of SU(2) and SO(3).File in questo prodotto:
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