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

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math.AP2007

Periodic solutions for the Schroedinger equation with nonlocal smoothing nonlinearities in higher dimension

Guido Gentile, Michela Procesi

We consider the nonlinear Schroedinger equation in higher dimension with Dirichlet boundary conditions and with a non-local smoothing nonlinearity. We prove the existence of small…