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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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Showing 2011Show all

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math.AP2011★ 1 cited

KAM theory for the Hamiltonian derivative wave equation

Massimiliano Berti, Luca Biasco, Michela Procesi

We prove an infinite dimensional KAM theorem which implies the existence of Cantor families of small-amplitude, reducible, elliptic, analytic, invariant tori of Hamiltonian derivat…

math.AP2011★ 47 cited

Quasi-Töplitz functions in KAM theorem

Xindong Xu, Michela Procesi

We define and describe the class of Quasi-Töplitz functions. We then prove an abstract KAM theorem where the perturbation is in this class. We apply this theorem to a Non-Linear-Sc…