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arXiv · 1502.02262

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

L. Hakan Eliasson·Benoît Grèbert·Sergeï B. Kuksin
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Abstract

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.

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L. Hakan Eliasson, Benoît Grèbert, Sergeï B. Kuksin. 2015-02-08. KAM for the non-linear Beam equation 2: A normal form theorem. https://arxiv.org/abs/1502.02262

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