Quasi-periodic solutions of PDEs

Berti, Massimiliano

Séminaire Laurent Schwartz — EDP et applications (2011-2012), Exposé no. 30, 11 p.

The aim of this talk is to present some recent existence results about quasi-periodic solutions for PDEs like nonlinear wave and Schrödinger equations in ${𝕋}^d$, $d\ge 2$, and the $1$-$d$ derivative wave equation. The proofs are based on both Nash-Moser implicit function theorems and KAM theory.

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