KAM for KG on $\mathbb S^2$ and for the quantum harmonic oscillator on   $\mathbb R^2$
  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. 
B. Gr\'ebert
math.AP