Search for dissertations about: "Sturm-Liouville operator"
Found 4 swedish dissertations containing the words Sturm-Liouville operator.
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1. Spectra of elliptic operators and applications
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
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2. Generalized Titchmarsh-Weyl functions and super singular perturbations
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
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3. Spectral properties of elliptic operators in singular settings and applications
Abstract : The present thesis is focused on the investigation of the spectral properties of the linear elliptic operators in the presence of singularities. It is divided into three chapters. In the first chapter, we consider geometric singularities. READ MORE
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4. On Supersingular Perturbations
Abstract : This thesis consists of four papers and deals with supersingular rank one perturbations of self-adjoint operators and their models in Hilbert or Pontryagin spaces. Here, the term supersingular describes perturbation elements that are outside the underlying space but still obey a certain regularity conditions. READ MORE