Physical Sciences and Mathematics Commons^™

Gross's Proof Of Local Existence For The Coupled Maxwell-Dirac Equations, Kimberly Jane Harry

Theses and Dissertations

The Maxwell-Dirac equations are a model for the interaction of a relativistic electron with an electromagnetic field. It is to be expected that the initial value problem will have an unique solution which exists for all time t >0, for all appropriate initial conditions. This is not yet known, but in 1966, Leonard Gross proved a local existence theorem. In this thesis, we will present an overview of Leonard Gross's proof.