Document Type
Article
Date
3-6-2008
Disciplines
Mathematics
Description/Abstract
R. M. Brown's theorem on mixed Dirichlet and Neumann boundary conditions is extended in two ways for the special case of polyhedral domains. A (1) more general partition of the boundary into Dirichlet and Neumann sets is used on (2) manifold boundaries that are not locally given as the graphs of functions. Examples are constructed to illustrate necessity and other implications of the geometric hypotheses.
Recommended Citation
Venouziou, Moises and Verchota, Gregory C., "The Mixed Problem for Harmonic Functions in Polyhedra" (2008). Mathematics - All Scholarship. 137.
https://surface.syr.edu/mat/137
Source
Harvested from arXiv.org
Creative Commons License
This work is licensed under a Creative Commons Attribution 3.0 License.
Additional Information
This manuscript is from arXiv.org, for more information see http://arxiv.org/abs/0803.0957