Regularity Results for Generalized Electro-Magnetic Problems

Details Regularity Results for Generalized Electro-Magnetic Problems Regularity Results for Generalized Electro-Magnetic Problems

2011-05-20

arxiv.org/abs/1105.4091v1

Analysis (Munich), 30, (2010), 225-252

Mathematics

Analysis of PDEs

Key Words: regularity, Maxwell's equations, electro-magnetic problems

Scientific paper

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.

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