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Branch-point structure and energy level calculations of diamagnetic hydrogen using dimensional perturbation theory.
(2000)
This dissertation describes the results of research that covers two distinct areas relevant to the field of physics: atomic theory and applied numerical analysis. In the first phase of this research the avoided crossings ...
Existence and stability of solitary-wave solutions of equations of Benjamin-Bona-Mahony type.
(2000)
This thesis studies the existence and stability of solitary-wave solutions fx-ct of equations of the form ut+fux +Mut=0 . It is proved that there exist stable sets of solitary wave profile functions for a general class ...
Projection functions and classes of centrally symmetric convex bodies.
(2000)
We also study averages of projections and show that all convex bodies in Ed are determined by averages of their three dimensional projections. This is in contrast to the case of two dimensional projections where there ...
A generic Picard-Vessiot extension for GL(n) and the inverse differential Galois problem.
(2000)
Let F be a differential field with field of constants the algebraically dosed field C. Let Yij be differential indeterminates and let R = F{ Yij}[X11, ..., Xnn] be a differential ring with derivation D (Xij) = k=1n ...
Regularity for systems and the angle condition.
(2000)
In this dissertation we consider weak solutions of the System A(u) + B(u) = 0 on a bounded domain W⊂ Rn where B(u) is a perturbation of critical growth, i.e. its growth exponent p equals the integrability exponent ...
A comparison of solutions of a Boussinesq system and the Benjamin-Bona-Mahony equation.
(2000)
We compare solutions of a regularized Boussinesq model system for water waves to solutions of the Benjamin-Bona-Mahony equation. Both the system and the equation are obtained as formal approximations to the Euler equations ...
Digital signal processing on the unit sphere via a Ramanujan set of rotations and planar wavelets.
(2000)
We give a sufficient condition for a zonal function to be a strictly positive definite. A major result of this thesis is that we have proven Shreiner's result as a consequence of a more general representation-theoretic ...