Singularités électromagnétiques: Une approche inductive

In a non-convex polyhedral domain, we describe the local trace (i.e. defined on a face) of the normal derivative of an L² function, with L² Laplacian. We then provide generalized integration by parts formulae for the Laplace, divergence and curl operators. Finally, these results allow us to split electromagnetic fields into regular and singular parts, which can be characterized.