most citedKAM for the non-linear Beam equation 2: A normal form theorem

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math.AP2015★ 6 cited

KAM for the non-linear Beam equation 2: A normal form theorem

L. Hakan Eliasson, Benoît Grèbert, Sergeï B. Kuksin

We prove an abstract KAM theorem adapted to space-multidimensional hamiltonian PDEs with regularizing nonlinearities. It applies in particular to the singular perturbation problem…