|Topic:||The Defocusing Cubic Nonlinear Wave Equation in the Energy-Supercritical Regime|
|Affiliation:||Member, School of Mathematics|
|Date:||Tuesday, November 1|
|Time/Room:||3:15pm - 4:15pm/S-101|
In this talk, we will present some recent results in the study of the nonlinear wave equation with cubic defocusing nonlinearity, describing the completion of a program to establish global well-posedness and scattering in the energy-supercritical regime under an assumed a priori uniform-in-time control of the critical norm. In particular, we discuss a series of recent results in which the concentration-compactness approach of Kenig and Merle is combined with tools from harmonic analysis to yield insight in this class of problems.