Omschrijving
We consider the one-dimensional nonlinear Schrödinger equation with a nonlinearity of degree p > 1. On compact manifolds many probability measures are invariant by the flow of the linear Schrödinger equation, and it is sometimes possible to modify them suitably and get invariant or quasi-invariant measures for the non linear problem.
Nicolas Burq, Universite Paris-Saclay, Orsay, France, and Institut Universitaire de France, France, and Laurent Thomann, Universite de Lorraine, Nancy, France.