Sökning: "perturbation analysis"
Visar resultat 6 - 10 av 141 avhandlingar innehållade orden perturbation analysis.
6. Asymptotic analysis of solutions to elliptic and parabolic problems
Sammanfattning : In the thesis we consider two types of problems. In Paper 1, we studysmall solutions to a time-independent nonlinear elliptic partial differential equation of Emden-Fowler type in a semi-infnite cylinder. The asymptotic behaviour of these solutions at infnity is determined. First, the equation under the Neumann boundary condition is studied. LÄS MER
7. Wavelet and gabor frames and bases : approximation, sampling and applications
Sammanfattning : This thesis is devoted to both theoretical and practical aspects of applied mathematics. It consists of three main parts: Part I consists of an application-oriented introduction to the theory of frames and bases for separable Hilbert spaces, as well as an introduction to the main tools used in the remaining Chapters: Time-frequency analysis, Gabor frames and wavelet frames. LÄS MER
8. Spectral properties of elliptic operators in singular settings and applications
Sammanfattning : 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. LÄS MER
9. Generalized Titchmarsh-Weyl functions and super singular perturbations
Sammanfattning : 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. LÄS MER
10. On Supersingular Perturbations
Sammanfattning : 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. LÄS MER