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Growth of Soblev norms for the analyitc non-linear Schrodinger equation on the torus

  • Date February 19, 2015
  • Hour 3 pm
  • Room GSSI Main Lecture Hall
  • Speaker Michela Procesi (Department of Mathematics, University Roma Sapienza)

Abstract
I will discuss some recent results in collaboration with Emanuele Haus and Marcel Guardia. I will consider the analytic non-linear Schrodinger equation on a two-dimensional torus and exhibit orbits whose Sobolev norms grow with time. The main point is to make use of an accurate combinatorial analysis in order to reduce to a sufficiently simple toy model, similar in many ways to the one used for the case of the cubic NLS.