KAM Theory for Partial Differential Equations

Authors

  • Massimiliano Berti

DOI:

https://doi.org/10.4208/ata.OA-0013

Keywords:

KAM for PDEs, quasi-periodic solutions, small divisors, infinite dimensional Hamiltonian and reversible systems, water waves, nonlinear wave and Schrödinger equations, KdV.

Abstract

In the last years much progress has been achieved in KAM theory concerning bifurcation of quasi-periodic solutions of Hamiltonian or reversible partial differential equations. We provide an overview of the state of the art in this field.

Published

2019-04-11

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Pdf View

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Section

Articles

How to Cite

KAM Theory for Partial Differential Equations. (2019). Analysis in Theory and Applications, 35(3), 235-267. https://doi.org/10.4208/ata.OA-0013