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#### A Boundary Value Problem in C2

(Creighton University, 1967)

Dirichlet's problem for a single complex variable may be stated thus: given a real valued function f which is continuous on the boundary of a region R, does there exist a function h such that it is harmonic on R, continuous ...

#### A Composite-Upper Bounding Method of Finding a Feasible Solution to a Linear Programming Problem

(Creighton University, 1967)

The purpose of this paper is to describe a synthesis of Wolfe's composite simplex algorithm1 and Dantzig's upper bounding technique2 to give a variation of the simplex method of obtaining a feasible solution to a linear ...

#### The Convergence of a Non-Linear Parabolic Partial Differential Equation

(Creighton University, 1967)

This thesis is concerned with the application of Newton's method for multi-variable nonlinear functions to the nonlinear partial differential equation which describes two-dimensional flow of gas through porous media. | ...

#### The Existence of Coefficient Field Composites in Commutative Algebras

(Creighton University, 1967)

Let A be a commutative algebra with base field K <= A. Let N be a maximal ideal of A and g the natural K-homomorphism of A onto A/N. We say that A has a coefficient field F for N if there exist a field F<=A such that gF = ...

#### Inseparable Field Extensions Which Contain No Purely Inseparable Elements

(Creighton University, 1967)

It is well known that for certain fields K of characteristic p /= 0 there exists finite extensions E/K that are not separable, yet contain no purely inseparable elements. However, the question of when such a phenomenon ...

#### Coefficient Fields in Tensor Products

(Creighton University, 1967)

Let L>=K be fields of characteristic p /= 0 such that Lpe <= K for some positive integer e. Let M be an inbetween field of K and L and f the canonical K-homo-morphism of the tensor product L ⊗ M over K onto the field ...