Global well-posedness of the energy critical Maxwell-Klein-Gordon equation

2 December 2015
16:00
Sung-jin Oh
Abstract

The massless Maxwell-Klein-Gordon system describes the interaction between an electromagnetic field (Maxwell) and a charged massless scalar field (massless Klein-Gordon, or wave). In this talk, I will present a recent proof, joint with D. Tataru, of global well-posedness and scattering of this system for arbitrary finite energy data in the (4+1)-dimensional Minkowski space, in which the PDE is energy critical.

  • Partial Differential Equations Seminar