A configuration space for solutions of Maxwell’s equations. (English) Zbl 1193.35215

Cranny, Tim (ed.) et al., Joint Australian-Taiwanese workshop on analysis and applications, Brisbane, Australia, March 31–April 04, 1997. Canberra: Australian National University, Centre for Mathematics and its Applications (ISBN 0-7315-5201-6/pbk). Proceedings of the Centre for Mathematics and its Applications, Australian National University 37, 39-45 (1999).
Summary: 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 time-like 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.
For the entire collection see [Zbl 1127.00307].


35Q60 PDEs in connection with optics and electromagnetic theory
83C22 Einstein-Maxwell equations