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arxiv: 1411.0293 · v1 · pith:7Y4G33V2new · submitted 2014-11-02 · 🧮 math.AP

A KAM result on compact Lie groups

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keywords compactresultcasedescribeequationexistencegroupshamiltonian
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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 $SU(2)$ and $SO(3)$.

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