Almost sure local well-posedness for cubic nonlinear Schrodinger equation with higher order operators

Jean-Baptiste Casteras, Juraj Foldes, Gennady Uraltsev

In this paper, we study the local well-posedness of the cubic Schrödinger equation: \[ (i \partial_t - \mathscr{L}) u = \pm |u|^2 u \quad \text{ on } I \times \mathbb{R}^d, \] with…