Date of Award
Master of Science
Lijing Sun, Peter Hinow, Jeb Willenbring
Kato, Leonard Gross, Maxwell-Dirac Equations
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.
Harry, Kimberly Jane, "Gross's Proof of Local Existence for the Coupled Maxwell-Dirac Equations" (2020). Theses and Dissertations. 2516.