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Date Available
7-19-2016
Year of Publication
2016
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 look at the mixed boundary value problem for elliptic operators in a bounded C1,1(ℝn) domain. The boundary is decomposed into disjoint parts, D and N, with Dirichlet and Neumann data, respectively. Expanding on work done by Ott and Brown, we find a larger range of values of p, 1 < p < n/(n-1), for which the Lp mixed problem has a unique solution with the non-tangential maximal function of the gradient in Lp(∂Ω).
Digital Object Identifier (DOI)
http://dx.doi.org/10.13023/ETD.2016.297
Recommended Citation
Croyle, Laura D., "Solutions to the Lp Mixed Boundary Value Problem in C1,1 Domains" (2016). Theses and Dissertations--Mathematics. 38.
https://uknowledge.uky.edu/math_etds/38
