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Author ORCID Identifier
Date Available
4-28-2017
Year of Publication
2017
Document Type
Doctoral Dissertation
Degree Name
Doctor of Philosophy (PhD)
College
Arts and Sciences
Department/School/Program
Mathematics
Faculty
Dr. Russell Brown
Faculty
Dr. Peter Hislop
Abstract
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.
Digital Object Identifier (DOI)
https://doi.org/10.13023/ETD.2017.189
Recommended Citation
Schreffler, Morgan F., "Approximation of Solutions to the Mixed Dirichlet-Neumann Boundary Value Problem on Lipschitz Domains" (2017). Theses and Dissertations--Mathematics. 47.
https://uknowledge.uky.edu/math_etds/47
