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

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

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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Hauptverfasser: Eliasson, L. Hakan, Grèbert, Benoît, Kuksin, Sergeï B
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics - Analysis of PDEs
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Zusammenfassung: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.
DOI:10.48550/arxiv.1502.02262