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arXiv · 1410.8084

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

B. Grébert
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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.

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B. Grébert. 2014-10-29. KAM for KG on $\mathbb S^2$ and for the quantum harmonic oscillator on $\mathbb R^2$. https://arxiv.org/abs/1410.8084

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