Date Available
5-23-2022
Year of Publication
2022
Degree Name
Doctor of Philosophy (PhD)
Document Type
Doctoral Dissertation
College
Arts and Sciences
Department/School/Program
Mathematics
First Advisor
Dr. Russell M. Brown
Abstract
We consider inverse boundary problems for polyharmonic operators and in particular, the problem of recovering the coefficients of terms up to order one. The main interest of our result is that it further relaxes the regularity required to establish uniqueness. The proof relies on an averaging technique introduced by Haberman and Tataru for the study of an inverse boundary value problem for a second order operator.
Digital Object Identifier (DOI)
https://doi.org/10.13023/etd.2022.183
Recommended Citation
Gauthier, Landon, "Inverse Boundary Value Problems for Polyharmonic Operators With Non-Smooth Coefficients" (2022). Theses and Dissertations--Mathematics. 89.
https://uknowledge.uky.edu/math_etds/89
