Abstract
In joint work with Robin Balean, we have constructed a parameterisation of the space of all solutions of Maxwell's equations in an exterior domain in Minkowski space. The domain has boundary consisting of a null cone and a timelike cylinder, and the construction arises from uniqueness and existences theorems, which we establish within a certain "Lorentz" gauge. The resulting free boundary data are unconstrained.
Information
Published: 1 January 1999
First available in Project Euclid: 18 November 2014
zbMATH: 1193.35215
Rights: Copyright © 1999, Centre for Mathematics and its Applications, Mathematical Sciences Institute, The Australian National University. This book is copyright. Apart from any fair dealing for the purpose of private study, research, criticism or review as permitted under the Copyright Act, no part may be reproduced by any process without permission. Inquiries should be made to the publisher.