Solvability, regularity and stability of linear and non-linear equations and systems. Qualitative properties (singularities, symmetry, asymptotics, long time behaviour). Spectral theory, scattering, inverse problems. Variational methods and calculus of variations. Homogenization and multiscale problems. Relations to continuous media and control.
INVITED SPEAKERS
Stefano Bianchini
SISSA-ISAS, Trieste, Italy
and
Istituto per le Applicazioni del Calcolo "M.Picone", Roma, Italy
Relaxation approximations to hyperbolic systems
Saturday, August 26, 17:00-17:45
Patrick Gérard
Université de Paris-Sud, Orsay, France
Nonlinear Schrödinger equations in inhomogeneous media
Tuesday, August 29, 17:00-17:45
François Golse
Université Paris 7-Denis Diderot, Paris, France
The periodic Lorentz gas in the Boltzmann-Grad limit
Wednesday, August 30, 17:00-17:45Matthew Gursky
University of Notre Dame, Notre Dame, USAConformal invariants and nonlinear elliptic equations
Friday, August 25, 17:00-17:45
Hitoshi Ishii
Waseda University, Tokyo, Japan
Asymptotic solutions for large time of Hamilton-Jacobi equations
Saturday, August 26, 18:00-18:45
Mario Pulvirenti
Università di Roma-La Sapienza, Roma, Italy
The weak-coupling limit of large classical and quantum systems
Tuesday, August 29, 16:00-16:45Ovidiu Savin
University of California, Berkeley, USA
Symmetry of entire solutions for a class of semilinear elliptic equations
Thursday, August 24, 18:00-18:45Sylvia Serfaty
Courant Institute of Mathematical Sciences, New York University, New York, USA
Vortices in the Ginzburg-Landau model with magnetic field
Friday, August 25, 18:00-18:45
Neil Trudinger
Australian National University, Camberra, Australia
Recent developments in elliptic partial differential equations of Monge-Ampère type
Thursday, August 24, 17:00-17:45
Luis Vega
Euskal Herriko Unibertsitatea, Bilbao, Spain
The initial value problem for nonlinear Schrödinger equations
Tuesday, August 29, 15:00-15:45
Juan J.L. Velázquez
Universidad Complutense de Madrid, Madrid, Spain
Mathematical properties of chemotaxis models
Wednesday, August 30, 16:00-16:45