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.
Organisers
- 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.
Speakers
- 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