Wednesday, April 29, 2009. Minnesota PDE seminar

Speaker: Professor Pierre Germain, Courant Institute, NYU

Title:  Global Existence for Nonlinear Dispersive Equation.

Abstract:  Starting from small data, when does a nonlinear dispersive PDE have 
global solutions? A classical approach, just like for ODE, is to study 
resonances. I will show that for PDE a new kind of resonances arises, 
that I call space resonances. This is the basis of a new method, that I 
will present; I will also show how it applies to a variety of equations of 
Mathematical Physics: non-linear Schrodinger, water waves, 
Euler-Maxwell... This is joint work with Nader Masmoudi and Jalal Shatah.

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