154 citations · 798 across the 35 of their papers we have counts for
Showing 2012 · math.APShow all
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math.AP2012★ 15 cited
KAM for quasi-linear and fully nonlinear forced KdV
Pietro Baldi, Massimiliano Berti, Riccardo Montalto
We prove the existence of quasi-periodic, small amplitude, solutions for quasi-linear and fully nonlinear forced perturbations of KdV equations. For Hamiltonian or reversible nonli…
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★ 86 cited
Sobolev quasi periodic solutions of multidimensional wave equations with a multiplicative potential
Massimiliano Berti, Philippe Bolle
We prove the existence of quasi-periodic solutions for wave equations with a multiplicative potential on T^d, d \geq 1, and finitely differentiable nonlinearities, quasi-periodical…