Space-time regularity of the solution to Maxwell's equations in non-convex domains

The Singular Complement Method, developed in order to solve Maxwell's equations in non-convex domains (cf. [5,2] for two-dimensional domains in absence and in presence of charges. [3] for axisymmetric domains). is based on an orthogonal decomposition of the space of solutions. After recalling the classical regularity results in Lipschitz domains, we give several results of space and time regularity of the solution and of its components, which are valid for several geometries effectively used for numerical computations. (C) 2002 Academie des sciences/Editions scientifiques et medicales Elsevier SAS.