Search for dissertations about: "singular potential"

Showing result 1 - 5 of 31 swedish dissertations containing the words singular potential.

2. 1. Generalized Titchmarsh-Weyl functions and super singular perturbations

   Author : Christoph Neuner; Annemarie Luger; Pavel Kurasov; B. Malcolm Brown; Stockholms universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; Generalized Titchmarsh-Weyl function; Super singular perturbations; Strongly singular potentials;

   Abstract : In this thesis we study certain singular Sturm-Liouville differential expressions from an operator theoretic point of view.In particular we are interested in expressions that involve strongly singular potentials as introduced by Gesztesy and Zinchenko. READ MORE

4. 2. Articles on Potential Theory, Functional Analysis and Hankel Forms

   Author : Karl-Mikael Perfekt; Matematik (naturvetenskapliga fakulteten); []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; Neumann-Poincare operator; layer potential; Lipschitz; spectrum; bidual; predual; distance; BMO; Hankel form; Carleson embedding; vector-valued.;

   Abstract : Paper I: Perfekt, K.-M. and Putinar, M., Spectral bounds for the Neumann-Poincaré operator on planar domains with corners, to appear in J. READ MORE

5. 3. Studies of some Operators of Harmonic Analysis in certain Function Spaces with Applications to PDEs

   Author : Staffan Lundberg; Norway Narvik UiT The Arctic University of Norway Department of Computer Science and Computational Engineering Faculty of Science and Technology; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; Operators; Hardy Operators; Potential Operators; Singular Operators; Function Spaces; Morrey Spaces; H¨older Spaces; Partial Differential Equations; Inequalities; Hardy Type Inequalities; Weights; Applications; Matematik; Mathematics;

   Abstract : The study in this PhD thesis aims at development of certain mathematical methods used in applications, in particular, in the study of regularity properties of solutions in various mathematical models described by Partial Differential Equations (PDEs). To this end, we study various operators of harmonic analysis in certain function spaces, since solutions to many PDEs may be expressed in terms of such operators. READ MORE

6. 4. Spectra of elliptic operators and applications

   Author : Medet Nursultanov; Göteborgs universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; Helmholtz and Maxwell s equations; functional calculus; electromagnetic waveguide; acoustic waveguide; Sturm-Liouville operator; singular potential; asymptotics of eigenvalues; point interactions.;

   Abstract : In this thesis we consider several problems related to elliptic equations. Namely, we investigate Helmholtz and Maxwell's equations in Paper I and Sturm-Liouville spectral problem in Papers II,III. In Paper I we study time-harmonic electromagnetic and acoustic waveguide, modeled by an in�nite cylinder with a non-smooth cross section. READ MORE

7. 5. Simple Layer Potentials on Lipschitz Surfaces: An Asymptotic Approach

   Author : Johan Thim; Vladimir Kozlov; Bengt Ove Turesson; Martin Costabel; Linköpings universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; Singular integrals; Lipschitz surfaces; Mathematical analysis; Analys;

   Abstract : This work is devoted to the equationwhere S is the graph of a Lipschitz function φ on RN with small Lipschitz constant, and dS is the Euclidian surface measure. The integral in the left-hand side is referred to as a simple layer potential and f is a given function. READ MORE