%0 Journal Article %T KAM for the non-linear Beam equation 2: A normal form theorem %A L. Hakan Eliasson %A Beno£¿t Gr¨¨bert %A Serge£¿ B. Kuksin %J Mathematics %D 2015 %I arXiv %X We prove an abstract KAM theorem adapted to space-multidimensional hamiltonian PDEs with regularizing nonlinearities. It applies in particular to the singular perturbation problem studied in the first part of this work. %U http://arxiv.org/abs/1502.02262v1