Browsing Graduate School - MU Theses and Dissertations (MU) by Thesis Advisor "Hofmann, Steve"
Now showing items 1-3 of 3
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Absolute continuity of parabolic measure and the initial-dirichlet problem
(University of Missouri--Columbia, 2019)This thesis is devoted to the study of parabolic measure corresponding to a divergence form parabolic operator. We first extend to the parabolic setting a number of basic results that are well known in the elliptic case. ... -
Critical perturbations of elliptic operators by lower order terms
(University of Missouri--Columbia, 2021)In this work we study issues of existence and uniqueness of solutions of certain boundary value problems for elliptic equations in the upper half-space. More specifically we treat the Dirichlet, Neumann, and Regularity ... -
Parabolic quantitative rectifiability
(University of Missouri--Columbia, 2023)The purpose of this thesis is to develop a parabolic analog of uniform rectifiability. First, we provide a very general result concerning corona decompositions and the big pieces functor. This result is stated in a very ...