123 citations · 770 across the 37 of their papers we have counts for
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math.AP2012★ 123 cited
A KAM algorithm for the resonant non--linear Schrödinger equation
M. Procesi, C. Procesi
In this note we use the normal forms of the completely resonant non--linear Schrödinger equation on a torus (NLS) derived in previous work in order to produce, under a KAM algorith…
math.AP2012★ 97 cited
KAM for reversible derivative wave equations
M. Berti, L. Biasco, M. Procesi
We prove the existence of Cantor families of small amplitude, analytic, quasi-periodic solutions of derivative wave equations, with zero Lyapunov exponents and whose linearized equ…
math.AP2012★ 5 cited
The energy graph of the non linear Schrödinger equation
Michela Procesi, Claudio Procesi, Nguyen Bich Van
We discuss the stability of a class of normal forms of the completely resonant non--linear Schrödinger equation on a torus described in a previous paper. The discussion is essentia…