• 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.

• History

• Keywords

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

• AMS Subject Headings

37K55, 37J40, 37C55, 76B15, 35S05

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