## Search

Now showing items 1-20 of 87

#### Counterexamples to Strichartz Type Inequalities

(University of Missouri--Columbia, 2013)

[ACCESS RESTRICTED TO THE UNIVERSITY OF MISSOURI AT AUTHOR'S REQUEST.] The study of Strichartz s inequality is very important in the theory of nonlinear Shrodinger equations. The inequalities do not hold for all choice of ...

#### Large-amplitude solitary water waves with discontinuous vorticity

(University of Missouri--Columbia, 2017)

Consider a two-dimensional body of water with constant density which lies below a vacuum. The ocean bed is assumed to be impenetrable, while the boundary which separates the uid and the vacuum is assumed to be a free ...

#### A foliated Seiberg-Witten theory

(University of Missouri--Columbia, 2016)

the introduction of that theory to pure

**mathematics**has proved to have great utility for studying four-dimensional manifolds, particularly for classifying such spaces. A foliation is a geometric space that is broken down into disjoint lower dimension spaces, each...#### Maximal Fourier integrals and multilinear multiplier operators

(University of Missouri--Columbia, 2016)

The first topic of this dissertation is concerned with the L^2 boundedness of a maximal Fourier integral operator which arises by transferring the spherical maximal operator on the sphere S^n to a Euclidean space of the ...

#### Sequences of rank-1 projections and Gabor tight fusion frames

(University of Missouri--Columbia, 2017)

This dissertation provides new results in two areas. The first part concerns the particular properties that are inherited by a sequence of rank-1 projections from the inducing sequence of unit-norm vectors. The second part ...

#### A sublinear version of the Schur Test and weighted norm inequalities

(University of Missouri--Columbia, 2017)

In this dissertation, we provide results which characterize when a class of partial differential equations can be solved. These partial differential equations arise in the study of the Porous Media Equation, which can model ...

#### Radiation conditions and integral representations for Clifford algebra-valued null solutions of the iterated perturbed Dirac operator

(University of Missouri--Columbia, 2017)

in optical diffraction theory and radio wave propagation. This decay condition, which has become known as Sommerfeld's radiation condition, has been subsequently adapted to various other operators of interest in

**mathematics**, engineering, and physics. Examples...#### Approximate isometries and distortion energy functionals

(University of Missouri--Columbia, 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 ...

#### Generating sequences of valuations and applications

([University of Missouri--Columbia], 2014)

#### On the Euler characteristics of certain moduli spaces of 1-dimensional subschemes

(University of Missouri--Columbia, 2017)

Generalizing the ideas in [LQ] and using virtual Hodge polynomials as well as torus actions, we compute the Euler characteristics of some moduli spaces of 1-dimensional closed subschemes when the ambient smooth projective ...

#### Erdős distance problem in the hyperbolic half-plane

(University of Missouri--Columbia, 2009)

The Erd̋os distance problem asks for the minimum number of distinct distances determined by large finite point sets in the plane. The aim of this work is to investigate how the classical techniques employed in the study ...

#### Groupoids and semigroupoids

(University of Missouri--Columbia, 2013)

[ACCESS RESTRICTED TO THE UNIVERSITY OF MISSOURI AT AUTHOR'S REQUEST.] The theory of semigroupoids and groupoids makes the transition between arbitrary sets and groups. The usefulness of developing theory stems from various ...

#### On projective morphisms of varieties with nef anticanonical divisor

(University of Missouri--Columbia, 2012)

We shall study and discuss some important properties of the projective varieties with nef anticanonical bundles and nef tangent bundles. And we shall review some background and history about the subject. Then we shall use ...

#### Explorations of geometric combinatorics in vector spaces over finite fields

(University of Missouri--Columbia, 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 ...

#### Constant proportion portfolio insurance and related topics with empirical study

(University of Missouri--Columbia, 2012)

The concept of Constant Proportion Portfolio Insurance (CPPI) in terms of jump-diffusion, as well as the associated mean-variance hedging problem, has been studied. Three types of risk related to: the probability of loss, ...

#### Statistical and stochastic results for three dimensional fluids

(University of Missouri--Columbia, 2012)

In part I, we show that the longitudinal correlation function for homogeneous and isotropic turbulence remains negative in an interval of time, up to Galerkin approximation. Part II covers the existence and uniqueness of ...

#### Topics in non-locally convex functional analysis and geometrical analysis with applications to boundary value problems

(University of Missouri--Columbia, 2012)

[ACCESS RESTRICTED TO THE UNIVERSITY OF MISSOURI AT AUTHOR'S REQUEST.] This dissertation is comprised of two parts. The first part, consisting of chapters 2-13, deals with issues pertaining to non-locally functional analysis. ...

#### Geometric combinatorics in discrete settings

(University of Missouri--Columbia, 2011)

This thesis is a compilation of work in which the author studies geometric configurations in finite fields and the integers modulo q. The results of this dissertation are threefold. First, we prove a finite field analog ...

#### Applications of fourier analysis to intersection bodies

(University of Missouri--Columbia, 2008)

of the Busemann-Petty problem. We are interested in comparing classes of [kappa]-intersection bodies. In the first chapter we present the result that was published in J. Schlieper, A note on [kappa]-intersection bodies, Proceedings American.

**Mathematical**Society...#### Outer products and frame coefficients

(University of Missouri--Columbia, 2017)

In this dissertation, we will examine two distinct areas of frame theory. The first will be the area of outer products. In particular, we will examine the spanning and independence properties of the collection [see abstract ...