Besov regularity of edge singularities for the Poisson equation in polyhedral domains

Characterization of the singular part of

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

✍ F. Assous; P. Ciarlet Jr.; Prof. Dr. P.-A. Raviart; E. Sonnendrücker 📂 Article 📅 1999 🏛 John Wiley and Sons 🌐 English ⚖ 138 KB 👁 2 views

The solution of Maxwell's equations in a non-convex polyhedral domain is less regular than in a smooth or convex polyhedral domain. In this paper we show that this solution can be decomposed into the orthogonal sum of a singular part and a regular part, and we give a characterization of the singular