(1) Laboratoire d’Analyse Numérique URA CNRS 189, Université Pierre et Marie Curie, 4 place Jussieu, BC 187 75 252 Paris Cedex, France
Abstract:
We prove that the initial value problem for the 2D cubic semi-linear Schrödinger equation is well-posed in the Besov space B0,∞2(?2). For this, we rely on some new dispersive inequalities derived from bilinear restriction theorems.
