Characterization of the singular part of the solution of Maxwell's equations in a polyhedral domain

The solution of Maxwell's equations in a non-convex polyhedral domain is le ss regular than in a smooth or convex polyhedral domain. In this paper we s how that this solution can be decomposed into the orthogonal sum of a singu lar part and a regular part, and we give a characterization of the singular part. We also prove that the decomposition is linked to the one associated to the scalar Laplacian. Copyright (C) 1999 John Wiley & Sons, Ltd.