Fonctionne avec Indico
v3.2.9
I will present and discuss a result we recently proved with Nicolas Camps. We consider nonlinear Schrödinger equations on flat tori satisfying a simple and explicit Diophantine non-degeneracy condition. Provided that the nonlinearity contains a cubic term, we prove the almost global existence and stability of most of the small solutions in high regularity Sobolev spaces.