Document Type

Article

Date

3-6-2008

Embargo Period

11-17-2011

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.

Additional Information

This manuscript is from arXiv.org, for more information see http://arxiv.org/abs/0803.0957

Source

Harvested from arXiv.org

Creative Commons License


This work is licensed under a Creative Commons Attribution 3.0 License.

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Mathematics Commons

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