Regularity Results for Generalized Electro-Magnetic Problems
arXiv:1105.4091
Abstract
We prove regularity results up to the boundary for time independent generalized Maxwell equations on Riemannian manifolds with boundary using the calculus of alternating differential forms. We discuss homogeneous and inhomogeneous boundary data and show 'polynomially weighted' regularity in exterior domains as well.
Key Words: regularity, Maxwell's equations, electro-magnetic problems