Analysis Seminar: T. Umeda "Space-time estimates for strongly propagative systems: From Maxwell to Dirac equations"

Spectral theory for general classes of first order systems has been
less popular since 1990's. In this talk, I would like to propose a new
class of first order systems which generalize both Maxwell  and
Dirac equations. In this new class, we can treat these two equations
in a unified manner, although their physical backgrounds are very
different from each other. The main point of my talk is space-time
estimates for the new class of first order systems. The essential part
of the idea is to derive uniform boundedness of the spectral densities.

This talk is based on joint work with Matania Ben-Artzi.

Date: 

Wed, 24/01/2018 - 12:00 to 13:00

Location: 

Room 70, Ross building