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arXiv · 1705.07287

KAM for quasi-linear autonomous NLS

Roberto Feola·Michela Procesi
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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.

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Roberto Feola, Michela Procesi. 2017-05-20. KAM for quasi-linear autonomous NLS. https://arxiv.org/abs/1705.07287

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