M. Procesi

activity

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 2004 · math.DSShow all

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math.DS2004★ 18 cited

Conservation of resonant periodic solutions for the one-dimensional nonlinear Schroedinger equation

Guido Gentile, Michela Procesi

We consider the one-dimensional nonlinear Schrödinger equation with Dirichlet boundary conditions in the fully resonant case (absence of the zero-mass term). We investigate conserv…

math.DS2004★ 66 cited

Periodic solutions for completely resonant nonlinear wave equations

Guido Gentile, Vieri Mastropietro, Michela Procesi

We consider the nonlinear string equation with Dirichlet boundary conditions $u_{xx} - u_{tt} = ϕ (u)$ , with $ϕ (u) = Φ u^{3} + O (u^{5})$ odd and analytic, $Φ \neq = 0$ , and we construct small…