DEPARTMENT COLLOQUIUM

3/15/2006

Avraham Soffer
Rutgers University

Dispersive Waves Dynamics and Scattering

Dispersive wave equations appear naturally as evolution equations in Mathematical-Physics, such as the Schroedinger and Maxwell equations. From a mathematical standpoint they pose a great challenge and a source for many problems in analysis. I will describe some new progress and conjectures about nonlinear equations, and some possible new paradigms.