We show that solutions to the mixed problem on a Lipschitz domain Ω can be approximated in the Sobolev space H1(Ω) by solutions to a family of related mixed Dirichlet-Robin boundary value problems which converge in H1(Ω), and we give a rate of convergence. Further, we propose a method of solving the related problem using layer potentials.
| Identifer | oai:union.ndltd.org:uky.edu/oai:uknowledge.uky.edu:math_etds-1046 |
| Date | 01 January 2017 |
| Creators | Schreffler, Morgan F. |
| Publisher | UKnowledge |
| Source Sets | University of Kentucky |
| Detected Language | English |
| Type | text |
| Format | application/pdf |
| Source | Theses and Dissertations--Mathematics |
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