Ph.D. Course Details

Nonlinear dispersive PDEs

Lecturers

Jacopo Bellazzini (Università di Pisa)
jacopo.bellazzini@unipi.it
Luigi Forcella (Università di Pisa)
luigi.forcella@unipi.it

Description

The aim of the course is to discuss the Nonlinear Schroedinger equation in the Euclidean space. The first part of the course (Bellazzini) concerns local and global Cauchy Theory in the energy space, the existence of standing waves, and their dynamical properties. The main tools are Strichartz estimates and variational methods for the study of critical points for the energy functional. The second part of the course (Forcella) discusses the asymptotics below the ground state energy, scattering using concentration compactness a là Kenig Merle and interaction Morawetz estimates.

Scheduled lessons

  • 2025-01-20 11:00 (60 minutes), Saletta Riunioni.
  • 2025-01-28 09:00 (180 minutes), Aula Riunioni (Department of Mathematics).
  • 2025-02-04 09:00 (180 minutes), Aula Riunioni (Department of Mathematics).
  • 2025-02-11 09:00 (180 minutes), Aula Riunioni (Department of Mathematics).
  • 2025-02-28 09:00 (180 minutes), Aula Riunioni (Department of Mathematics).
  • 2025-03-04 09:00 (180 minutes), Aula Riunioni (Department of Mathematics).

Back to top