Die Maxwellgleichung mit wechselnden Randbedingungen (The Maxwell Equation with Mixed Boundary Conditions)
Analysis of PDEs
2011-08-11 v1 Mathematical Physics
Differential Geometry
Functional Analysis
math.MP
Abstract
In the thesis at hand we give a comprehensive discussion of basic problems for generalized Maxwell equations with mixed boundary conditions using the calculus of alternating differential forms on Riemannian manifolds of arbitrary dimension. We prove compactness results, Hodge decompositions and Poincare type estimates. For the case of 'full' boundary conditions we present trace and extension theorems, regularity theory as well as a detailed solution theory for static Maxwell problems.
Keywords
Cite
@article{arxiv.1108.2028,
title = {Die Maxwellgleichung mit wechselnden Randbedingungen (The Maxwell Equation with Mixed Boundary Conditions)},
author = {Peter Kuhn},
journal= {arXiv preprint arXiv:1108.2028},
year = {2011}
}
Comments
This is a preprint version of my dissertation (Dr. rer. nat.), submitted to the Fachbereich 6, Mathematik und Informatik, of the University of Essen, Germany, in August 1999. The thesis was published by Shaker (Aachen, Germany) in January 2000