TY - JOUR
T1 - KAM Theory for Partial Differential Equations
AU - Massimiliano Berti
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 - <p style="text-align: justify;">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.</p>