Browsing Department of Mathematics (MU) by Thesis Semester "2008 Spring"
Now showing items 111 of 11

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 ... 
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 ... 
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 ... 
Dichotomy theorems for evolution equations
(University of MissouriColumbia, 2008)In the first part of this work, under minimal assumptions, we characterize the Fredholm property and compute the Fredholm index of abstract differential operators d/dt + A([dot]) acting on spaces of functions R [arrow] ... 
Explorations of geometric combinatorics in vector spaces over finite fields
(University of MissouriColumbia, 2008)We study how large a set of points needs to be in a vector space over a finite field in order for the points to determine all of a certain type of geometric structure. In addition we show that there are key differences ... 
An extension of Green's theorem with application
(University of MissouriColumbia, 2008)The main result of this thesis is a generalization of Green's Theorem. Green' s Theorem states: If Omega is an open subset of R[logical and]2 containing a compact subset K with smooth boundary. Let P and Q be two real ... 
The implicit function theorem for Lipschitz functions and applications
(University of MissouriColumbia, 2008)The subject matter of this thesis is the classical Implicit Function Theorem and its generalizations. Dictated by practical applications, it is of interest to relax the hypothesis of the standard Implicit Function Theorem ... 
Sections of complex convex bodies
(University of MissouriColumbia, 2008)The main idea of the Fourier analytic approach to sections of convex bodies is to express different parameters of a body in terms of the Fourier transform and then apply methods of Fourier analysis to solve geometric ... 
Surface to surface changes of variables and applications
(University of MissouriColumbia, 2008)The present thesis addresses a number of basic problems in relation to integration over surfaces in the Euclidean space, such as how the surface measure and unit normal changes under a smooth diffeomorphism how the integration ... 
Toroidalization of locally toroidal morphisms
(University of MissouriColumbia, 2008)Let X and Y be nonsingular varieties over an algebraically closed field [kappa] of characteristic zero. A toroidal structure on X is a simple normal crossing divisor DX on X. Suppose that DX and DY are toroidal structures ...