Browsing College of Arts and Sciences (MU) by Thesis Department "Mathematics (MU)"
Now showing items 120 of 128

Absolute continuity of parabolic measure and the initialdirichlet problem
(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. ... 
The absolute functional calculus for sectorial operators
(University of MissouriColumbia, 2005)We introduce the absolute functional calculus for sectorial operators. This notion is stronger than the common holomorphic functional calculus. We are able to improve a key theorem related to the maximal regularity problem ... 
Agedependent branching processes and applications to the LuriaDelbrck experiment
(University of MissouriColumbia, 2015)Microbial populations adapt to their environment by acquiring advantageous mutations, but in the early twentieth century, questions about how these organisms acquire mutations arose. The experiment of Salvador Luria and ... 
Algebraic resolution of formal ideals along a valuation
(University of MissouriColumbia, 2008)Let X be a possibly singular complete algebraic variety, defined over a field [kappa] of characteristic zero. X is nonsingular at [rho] [element of] X if OX,[rho] is a regular local ring. The problem of resolution of ... 
Almost everywhere convergence for modified Bochner Riesz means at the critical index for [rho] [greater than or equal to] 2
(University of MissouriColumbia, 2010)The Fourier transform is a mathematical operation that can be used with its inverse to rewrite a function as a sum of waves. It has been a useful mathematical tool for many applied sciences. Sometimes Fourier inversion is ... 
Applications of fourier analysis to intersection bodies
(University of MissouriColumbia, 2008)The concept of an intersection body is central for the dual BrunnMinkowski theory and has played an important role in the solution of the BusemannPetty problem. A more general concept of [kappa]intersection bodies is ... 
Applications of the fourier transform to convex geometry
(University of MissouriColumbia, 2006)The thesis is devoted to the study of various problems arising from Convex Geometry and Geometric Functional Analysis using tools of Fourier Analysis. In chapters two through four we consider the BusemannPetty problem and ... 
Applied problems in frame theory
(2019)This thesis is a study of two applied problems in frame theory: phase retrieval and quantum detection. These problems are inspired by engineering applications in signal processing and information theory. ... The goal of ... 
Approximate isometries and distortion energy functionals
(University of MissouriColumbia, 2009)A fundamental problem in Riemannian Geometry and related areas is to determine whether two diffeomorphic compact Riemannian manifolds (M, [subscript g][subscript M]) and (N, [subscript g][subscript N]) are isometric; that ... 
Asymptotic properties of deep water solitary waves with compactly supported vorticity
(University of MissouriColumbia, 2018)[ACCESS RESTRICTED TO THE UNIVERSITY OF MISSOURI AT AUTHOR'S REQUEST.] In this thesis, we consider twoand threedimensional gravity and capillarygravity solitary waves propagating along the surface of a body of water ... 
Asymptotic unconditionality in Banach spaces
(University of MissouriColumbia, 2009)We show that a separable real Banach space embeds almost isometrically in a space [Upsilon] with a shrinking 1unconditional basis if and only if lim [subscript n] [subscript arrow] [subscript infinity] [norms] [chi] [group ... 
Boundary value problems for the Stokes system in arbitrary Lipschitz domains
(University of MissouriColumbia, 2008)The goal of this work is to treat the main boundary value problems for the Stokes system, i.e., (i) the Dirichlet problem with Lpdata and nontangential maximal function estimates, (ii) the Neumann problem with Lpdata and ... 
Box approximation and related techniques in spectral theory
(University of MissouriColumbia, 2008)This dissertation is concerned with various aspects of the spectral theory of differential and pseudodifferential operators. It consists of two chapters. The first chapter presents a study of a family of spectral shift ... 
CalderonZygmund theory for singular integral operators associated with secondorder elliptic partial differential systems on rough subdomains of Riemannian manifolds
(University of MissouriColumbia, 2016)[ACCESS RESTRICTED TO THE UNIVERSITY OF MISSOURI AT AUTHOR'S REQUEST.] This dissertation is a treatise on the theory of CalderonZygmund type singular integral operators capable of handling boundary layer potentials arising ... 
Capillarygravity water waves with vorticity : steady winddriven waves and waves with a submerged dipole
(2019)In this thesis, we study two mathematical problems on water waves in the setting of the incompressible Euler equations with vorticity, gravity, and surface tension. We investigate the existence of smallamplitude steady ... 
A class of Gorenstein Artin algebras of embedding dimension four
(University of MissouriColumbia, 2007)[ACCESS RESTRICTED TO THE UNIVERSITY OF MISSOURI AT REQUEST OF AUTHOR.] Let R be a polynomial ring in n variables and I be a homogeneous ideal in R. Such an ideal I is called Gorenstein if the quotient R/I has a free ... 
Classical and impulse stochastic control on the optimization of the dividends for the terminal bankruptcy model and its application
(University of MissouriColumbia, 2010)In this dissertation, I discuss the optimization of dividends of reinsurance companies with the terminal bankruptcy model, in which some money would be returned to shareholders at the state of terminal bankruptcy, meanwhile ... 
Coefficient theorems of BiranconSkoda type
(University of MissouriColumbia, 2011)[ACCESS RESTRICTED TO THE UNIVERSITY OF MISSOURI AT AUTHOR'S REQUEST.] The original BrianconSkoda theorem, proved for the ring of convergent power series over the field $mathbb{C}$ of complex numbers, was later generalized ... 
Complemented block bases of symmetric bases and spectral tetris fusion frame constructions
(University of MissouriColumbia, 2012)[ACCESS RESTRICTED TO THE UNIVERSITY OF MISSOURI AT AUTHOR'S REQUEST.] This work contains of two parts which are totally unrelated. In the first part we consider techniques surrounding the problem whether a complemented ... 
Complex and almostcomplex structures on six dimensional manifolds
(University of MissouriColumbia, 2006)We investigate the properties of hypothetical exotic complex structures on three dimensional complex projective space CP³. This is motivated by the long standing question in differential geometry of whether or not the six ...