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20042026
most citedA KAM algorithm for the resonant non--linear Schrödinger equation

123 citations · 770 across the 37 of their papers we have counts for

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3 papers · 1 filter

math.AP2014★ 118 cited

Quasi-periodic solutions for fully nonlinear forced reversible Schroedinger equations

Roberto Feola, Michela Procesi

In this paper we consider a class of fully nonlinear forced and reversible Schroedinger equations and prove existence and stability of quasi-periodic solutions. We use a Nash-Moser…

math.AP2014★ 8 cited

A KAM result on compact Lie groups

Livia Corsi, Emanuele Haus, Michela Procesi

We describe some recent results on existence of quasi-periodic solutions of Hamiltonian PDEs on compact manifolds. We prove a linear stability result for the non-linear Schrödinger…

math.AP2014★ 36 cited

Growth of Sobolev norms for the quintic NLS on

Emanuele Haus, Michela Procesi

We study the quintic Non Linear Schrödinger equation on a two dimensional torus and exhibit orbits whose Sobolev norms grow with time. The main point is to reduce to a sufficiently…