A Case Study for Critical Non-linear Dispersive quations: The Energy Critical Wave Equation

Carlos Kenig , University of Chicago
Fine Hall 314

We will discuss recent work on the energy critical wave equation. The issues studied are global existence, scattering, finite time blow-up, universal profiles at blow-up and soliton resolution. This is viewed not as an isolated series of results, but as a way of approaching many similar critical non-linear dispersive equations.