KAM for KG on ${\mathbb{S}}^2$ and for the quantum harmonic oscillator on ${\mathbb{R}}^2$

Abstract

In this paper we prove an abstract KAM theorem adapted to the Klein Gordon equation on the sphere ${\mathbb{S}}^2$ and for the quantum harmonic oscillator on ${\mathbb{R}}^2$ with regularizing nonlinearity.

References in corpus (1)

• KAM for the quantum harmonic oscillator