Browsing Department of Mathematics (MU) by Thesis Semester "2016 Spring"
Now showing items 1-11 of 11
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Calderon-Zygmund theory for singular integral operators associated with second-order elliptic partial differential systems on rough subdomains of Riemannian manifolds
(University of Missouri--Columbia, 2016)[ACCESS RESTRICTED TO THE UNIVERSITY OF MISSOURI AT AUTHOR'S REQUEST.] This dissertation is a treatise on the theory of Calderon-Zygmund type singular integral operators capable of handling boundary layer potentials arising ... -
A foliated Seiberg-Witten theory
(University of Missouri--Columbia, 2016)This dissertation set out to investigate a generalization of Seiberg-Witten theory from four-dimensional manifolds to four-codimensional Riemannian foliations. Seiberg-Witten theory was originally born out of the String ... -
GIT-equivalence and semi-stable subcategories of quiver representations
(University of Missouri--Columbia, 2016)The main investigation in this thesis is to determine when two weights give rise to the same semi-stable subcategory in the case of representations of quivers. This question was answered via explicit construction by Ingalls, ... -
Inertial Chow rings and a new asymptotic product
(University of Missouri--Columbia, 2016)For any toric Deligne-Mumford stack X and equivariant vector bundle V , we can define an two associative inertial products. We give a ring presentation for the inertial Chow ring of X under each of these products and compute ... -
Integration by parts formulas for higher order operators and applications to boundary value problems
(University of Missouri--Columbia, 2016)[ACCESS RESTRICTED TO THE UNIVERSITY OF MISSOURI AT REQUEST OF AUTHOR.] Green formulas for differential operators are important tools in the study of Partial Differential Equations. The first such formula, published in ... -
Locally semi-simple representations of quivers
(University of Missouri--Columbia, 2016)In this dissertation, we solve a conjecture raised by Victor Kac in 1982 concerning the so-called locally semi-simple representations of quivers. -
On the sensitivity of the solitary wave profile recovery formula to wave speed noise
(University of Missouri--Columbia, 2016)We derive a bound on the error in the recovery of the profile of an irrotational solitary water wave from pressure data given noise in the measurement of the wave speed. First, we prove that Constantin's exact solitary ... -
Rectifiability and harmonic measure
(University of Missouri--Columbia, 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 ... -
Some results in convex geometry
(University of Missouri--Columbia, 2016)This thesis is divided into four parts. The first part is about proving that the unit ball of the Lorentz space is not an intersection body for dimension greater than or equal to 5 and q > 2. We go on to explain the ... -
Subsequences of frames and their operators
(University of Missouri--Columbia, 2016) -
Weak hardy spaces and paraproducts /
(University of Missouri--Columbia, 2016)[ACCESS RESTRICTED TO THE UNIVERSITY OF MISSOURI AT REQUEST OF AUTHOR.] The purpose of this dissertation is to provide a new square function characterization of weak Hardy spaces in the full range of exponents possible and ...