TY - JOUR T1 - KAM Theory for Partial Differential Equations JO - Analysis in Theory and Applications VL - 3 SP - 235 EP - 267 PY - 2019 DA - 2019/04 SN - 35 DO - http://doi.org/10.4208/ata.OA-0013 UR - https://global-sci.org/intro/article_detail/ata/13115.html KW - KAM for PDEs, quasi-periodic solutions, small divisors, infinite dimensional Hamiltonian and reversible systems, water waves, nonlinear wave and Schrödinger equations, KdV. AB -

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.