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KAM for quasi-linear autonomous NLS

Published 20 May 2017 in math.AP | (1705.07287v1)

Abstract: We consider a class of fully nonlinear Schr\"odinger 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.

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Authors (2)

  1. Roberto Feola 
  2. Michela Procesi 

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