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math.AP2013★ 16 cited
The weakly nonlinear large box limit of the 2D cubic nonlinear Schrödinger equation
Erwan Faou, Pierre Germain, Zaher Hani
We consider the cubic nonlinear Schrödinger (NLS) equation set on a two dimensional box of size with periodic boundary conditions. By taking the large box limit …
math.AP2013
Nonlinear resonances with a potential: Multilinear estimates and an application to NLS
Pierre Germain, Zaher Hani, Samuel Walsh
This paper considers the question of global in time existence and asymptotic behavior of small-data solutions of nonlinear dispersive equations with a real potential . The main…