Analysis Seminar: "Probabilistic pointwise convergence for the Scrödinger equation."
Speaker: Renato Lucà, Basque Center for Applied Mathematics, Bilbao Spain
Abstract: The problem of (Lebesgue) almost everywhere pointwise convergence of solutions of the Schrödinger equation to the initial data, when the initial data are in Sobolev Spaces, is very classic. It has been proposed by Carleson in the 80’s and it has been only recently solved in any dimension combining the fundamental contributions of Bourgain, Du-Guth-Lee and Du-Zhang. The goal of this talk is to present some improved results for randomized initial data in both the linear and non linear settings.
Host: Francesco Di Plinio