Search
Now showing items 141-160 of 178
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.
Generating sequences and semigroups of valuations on 2 dimensional normal local rings
(University of Missouri--Columbia, 2018)
In this thesis we develop a method for constructing generating sequences for valuations dominating the ring of a two dimensional quotient singularity. Suppose that K is an algebraically closed field of characteristic zero, ...
Counting theorems and inverse function theorems for analytic functions
(University of Missouri--Columbia, 2017)
[ACCESS RESTRICTED TO THE UNIVERSITY OF MISSOURI AT REQUEST OF AUTHOR.] In this master's thesis, we discuss the counting and Rouche's theorems. These theorems are used to find the roots of complex analytic functions.Also, ...
Properties of frames and relationships between them with emphasis on subframes and unconditional convergence
(University of Missouri--Columbia, 2016)
[ACCESS RESTRICTED TO THE UNIVERSITY OF MISSOURI AT AUTHOR'S REQUEST.]
The Dirichlet problem for elliptic and degenerate elliptic equations, and related results
(University of Missouri--Columbia, 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 semi-groups and their gradients, and then we get Lp bounds for ...
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 ...
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 ...
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 ...
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 ...
Potential theory methods for some nonlinear elliptic equations
(University of Missouri--Columbia, 2018)
This dissertation presents a unified approach via potential theory for solvability of a class of nonlinear elliptic equations.
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 ...
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 ...
Stability and instability results for the 2D [alpha]-Euler equations /
(University of Missouri--Columbia, 2017)
We study stability and instability of time independent solutions of the two dimensional a-Euler equations and Euler equations; the a-Euler equations are obtained by replacing the nonlinear term (u [times] [del.])u in the ...
Stability of planar fronts for a class of reaction diffusion systems
(University of Missouri--Columbia, 2016)
The purpose of this thesis is to study stability of one-dimensional traveling waves and multidimensional planar fronts as well as space-independent steady states for a class of reaction diffusion systems that arise in ...
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 ...
Topics in spectral theory of differential operators /
(University of Missouri--Columbia, 2017)
This dissertation is devoted to two eigenvalue counting problems: Determining the asymptotic behavior of large eigenvalues of self-adjoint extensions of partial differential operators, and computing the number of negative ...
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 ...
Entropy minimization, convergence, and Gibbs ensembles (local and global)
(University of Missouri--Columbia, 2021)
We approach the subject of Statistical Mechanics from two different perspectives. In Part I we adopt the approach of Lanford and Martin-Lof. We examine the minimization of information entropy for measures on the phase space ...
Partial connections and contact instantons on contact manifolds
(University of Missouri--Columbia, 2022)
We study partial connections that are defined on a vector bundle E over a contact distribution H of a contact manifold (M2m+1; [zero with middle tilde]) by adapting the Rumin complex of the exterior derivative in a contact ...
M-adic perturbations in Noetherian local rings
(University of Missouri--Columbia, 2021)
The purpose of this thesis is to develop methods for the study m-adic stability in an arbitrary Noetherian local ring. A key role is played by the Artin-Rees lemma. Using these techniques we establish new results about the ...