58 citations · 59 across the 3 of their papers we have counts for
3 papers
math.AP2019★ 1 cited
Size of data in implicit function problems and singular perturbations for nonlinear Schrödinger systems
Pietro Baldi, Emanuele Haus
We investigate a general question about the size and regularity of the data and the solutions in implicit function problems with loss of regularity. First, we give a heuristic expl…
math.AP2014★ 58 cited
Gravity capillary standing water waves
Thomas Alazard, Pietro Baldi
The paper deals with the 2D gravity-capillary water waves equations in their Hamiltonian formulation, addressing the question of the nonlinear interaction of a plane wave with its…
math.AP2014
KAM for autonomous quasi-linear perturbations of KdV
Pietro Baldi, Massimiliano Berti, Riccardo Montalto
We prove the existence and stability of Cantor families of quasi-periodic, small amplitude solutions of quasi-linear (i.e. strongly nonlinear) autonomous Hamiltonian perturbations…