Postdoc Colloquium Series
Date: October 25, 2017
Time: 4:00PM - 5:00PM
Location: Bloc 220
Speaker: Dean Baskin, TAMU
Title: Radiation fields for wave equations
Abstract: Radiation fields are rescaled limits of solutions of wave equations near "null infinity" and capture the radiation pattern seen by a distant observer. They are intimately connected with the Fourier and Radon transforms and with scattering theory. In this talk, I will define and discuss radiation fields in a variety of contexts, starting with the familiar one dimensional wave equation and moving to the semilinear wave equation in three dimensions, the linear wave equation on the exterior of a non-rotating black hole, and then on a class of time-dependent spacetimes. Although the object of study is the same in each case, the methods used are quite different in the time-independent and time-dependent settings.