Regularity Results for Generalized Electro-Magnetic Problems
Analysis of PDEs
2011-05-23 v1 Mathematical Physics
Differential Geometry
math.MP
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.
Cite
@article{arxiv.1105.4091,
title = {Regularity Results for Generalized Electro-Magnetic Problems},
author = {Peter Kuhn and Dirk Pauly},
journal= {arXiv preprint arXiv:1105.4091},
year = {2011}
}
Comments
Key Words: regularity, Maxwell's equations, electro-magnetic problems