KAM for the non-linear Beam equation 2: A normal form theorem
Analysis of PDEs
2015-02-10 v1
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.
Cite
@article{arxiv.1502.02262,
title = {KAM for the non-linear Beam equation 2: A normal form theorem},
author = {L. Hakan Eliasson and Benoît Grèbert and Sergeï B. Kuksin},
journal= {arXiv preprint arXiv:1502.02262},
year = {2015}
}