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arxiv: 1502.02262 · v1 · pith:IAJV2YYJnew · submitted 2015-02-08 · 🧮 math.AP

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

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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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