Date of Award
August 2020
Degree Type
Thesis
Degree Name
Master of Science
Department
Mathematics
First Advisor
Kevin McLeod
Committee Members
Lijing Sun, Peter Hinow, Jeb Willenbring
Keywords
Kato, Leonard Gross, Maxwell-Dirac Equations
Abstract
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.
Recommended Citation
Harry, Kimberly Jane, "Gross's Proof of Local Existence for the Coupled Maxwell-Dirac Equations" (2020). Theses and Dissertations. 2516.
https://dc.uwm.edu/etd/2516