Analysis and PDE Seminar: Asymptotics of the radiation field on cones
Seminar | November 18 | 4:10-5 p.m. | 939 Evans Hall
Dean Baskin, Texas A&M University
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. We consider the wave equation on a product cone and show that the associated radiation field has an asymptotic expansion; the exponents seen in this expansion are the resonances of the hyperbolic cone with the same link. This talk is based on joint work with Jeremy Marzuola (building on prior work with Andras Vasy and Jared Wunsch).