Browsing Department of Mathematics (MU) by Thesis Advisor "Hofmann, Steve, 1958"
Now showing items 14 of 4

The Dirichlet problem for elliptic and degenerate elliptic equations, and related results
(University of MissouriColumbia, 2016)In this thesis, we first prove the solvability of Dirichlet problem with Lp data on the boundary for degenerate elliptic equations. Second, We obtain Lp bounds semigroups and their gradients, and then we get Lp bounds for ... 
Endpoint solvability results for divergence form, complex elliptic equations
(University of MissouriColumbia, 2011)We consider divergence form elliptic equations Lu := ∇ • (A∇u) = 0 in the half space ℝn+1+ := {(x,t)∈ ℝn x (0,∞)}, whose coeffi cient matrix A is complex elliptic, bounded and measurable. In addition, we suppose that A ... 
Generalized local Tb theorem and applications
(University of MissouriColumbia, 2012)The Tb theorem, like its predecessor, the T1 Theorem, is an L2 boundedness criterion, originally established by McIntosh and Meyer, and by David, Journé and Semmes in the context of singular integrals, but later extended ... 
Rectifiability and harmonic measure
(University of MissouriColumbia, 2016)This dissertation is concerned with the interplay of the geometry of the boundary of a given domain (or open set) and its harmonic measure. First, we prove structure theorems for uniformly rectifiable sets. These structure ...