Probabilistic well-posedness of generalized cubic nonlinear Schrödinger equations with strong dispersion using higher order expansions

Jean-baptiste Casteras, Juraj Földes, Itamar Oliveira +1

In this paper, we study the local well-posedness of the cubic Schrödinger equation $$(i{\partial }_t+\mathcal{L})u=\pm |u{|}^{2}u\text{on}I\times {\mathbb{R}}^d,$$…