paper

KAM for quasi-linear autonomous NLS

arXiv:1705.07287

Abstract

We consider a class of fully nonlinear Schrödinger equations and we prove the existence and the stability of Cantor families of quasi-periodic, small amplitude solutions. We deal with reversible autonomous nonlinearities and we look for analytic solutions. Note that this is the first result on analytic quasi-periodic solutions for fully nonlinear PDEs.

References in corpus (1)

KAM for quasi-linear autonomous NLS · wovepaper