Dispersive Equations

Scope of the special session

The main topic of the session is the analysis of dispersive equations, a research field that has been heavily developed in the last 30 years. Several equations of the mathematical-physics enter in this family. Just to quote some of the most relevant and famous ones we recall: Nonlinear Schroedinger, Nonlinear Klein-Gordon, Water-Waves, Korteweg-de Vries, Benjamin-Ono, Dirac, etc.


  • Luis Vega (Basque Center for Applied Mathematics and University of the Basque Country, Spain)
  • Nicola Visciglia (University of Pisa, Italy) - viscigli@dm.unipi.it

Abstracts and schedule

Below you can download the schedule and the abstracts of all talks of this special session.


  • Riccardo Adami (Polytechnic of Turin, Italy)

          Minimizing NLS energy on graphs

  • Valeria Banica (University of Évry Val d'Essonne, France)

           Large time behavior for the focusing NLS on hyperbolic space

  • Piero D'Ancona (University of Roma - La Sapienza, Italy)

          Global existence of equivariant wave maps with small data on rotationally symmetric manifolds

  • Patxi de La Hoz (University of the Basque Country, Spain)

           On the generation of random numbers by means of the vortex filament equation

  • Luca Fanelli (University of Roma - La Sapienza, Italy)

          Dispersive estimates for scaling critical Schrödinger operators

  • Damiano Foschi (University of Ferrara, Italy)

          Sharp constants for Fourier restriction inequalities on the sphere

  • Susana Gutiérrez (University of Birmingham, United Kingdom)

           Self-similar solutions of the one-dimensional Landau-Lifshitz-Gilbert equation

  • Evelyne Miot (Paris-Sud University, France)

           Some examples of dynamics for nearly parallel vortex filaments

  • Gustavo Ponce (University of California Santa Barbara, USA)

           On unique continuation properties of solution to some dispersive equations

  • Javier Ramos (IMPA, Brasil)

           New bounds on the Fourier restriction problem

  • Gigliola Staffilani (Massachussets Institute of Technology, USA)

           On the long time existence of some solutions to periodic supercritical NLS equations

  • Nikolay Tzvetkov (Cergy-Pontoise University, France)

           Invariant measures and long time behavior for the Benjamin-Ono equation

  • Miren Zubeldia (University of Helsinki, Finland)

           The inverse Robin boundary value problem in a half-space