KAM for KG on \mathbb S² and for the quantum harmonic oscillator on \mathbb R²

2014/10/29 by Grébert, B.
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1410.8084

Abstract

In this paper we prove an abstract KAM theorem adapted to the Klein Gordon equation on the sphere \mathbb S² and for the quantum harmonic oscillator on \mathbb R² with regularizing nonlinearity.

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