title: On the global Cauchy problem for the nonlinear Schrodinger equation.
abstract: We mainly survey recent results on the nonlinear Schrödinger equations with special emphasis on the Cauchy problem, local and global in time and for various regularity assumptions on the initial data.
authors.affiliation: Institute for Advanced Study, Princeton, NJ 08540, USA. bourgain@math.ias.edu
authors.forename: Jean
authors.initials: J
authors.lastname: Bourgain