Sökning: "Regularitet"

Visar resultat 1 - 5 av 6 avhandlingar innehållade ordet Regularitet.

1. 1. Propagation of singularities for pseudo-differential operators and generalized Schrödinger propagators

   Författare :Karoline Johansson; Joachim Toft; Anders Olofsson; Linnéuniversitetet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Banach spaces; Fourier; Generalized time-dependent Schrödinger equation; Micro-local; Modulation spaces; Non-tangential convergence; Pseudo-differential operators; Regularity; Wave-front sets; Banachrum; Fourier; Generaliserad tidsberoende Schrödinger ekvation; Icke-tangentiell konvergens; Mikrolokal; Modulationsrum; Pseudodifferentialoperatorer; Regularitet; Vågfrontsmängder; Mathematical analysis; Analys; Mathematics; Matematik;

   Sammanfattning : In this thesis we discuss different types of regularity for distributions which appear in the theory of pseudo-differential operators and partial differential equations. Partial differential equations often appear in science and technology. LÄS MER

3. 2. Maximal regularity of the solutions for some degenerate differential equations and their applications

   Författare :Raya Akhmetkaliyeva; Lars-Erik Persson; Peter Wall; Kordan Ospanov; Alexey Karapetyants Karapetyants; Luleå tekniska universitet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Matematik; Mathematics;

   Sammanfattning : This PhD thesis deals with the study of existence and uniqueness together with coercive estimates for solutions of certain differential equations.The thesis consists of six papers (papers A, B, C, D, E and F), two appendices and an introduction, which put these papers and appendices into a more general frame and which also serves as an overview of this interesting field of mathematics. LÄS MER

4. 3. Carleman-Sobolev classes and Green’s potentials for weighted Laplacians

   Författare :Behm Gustav; Håkan Hedenmalm; Jana Björn; KTH; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Mathematics; Matematik;

   Sammanfattning : This thesis is based on two papers: the first one concerns Carleman-Sobolev classes for small exponents and the other solves Poisson's equation for the standard weighted Laplacian in the unit disc.In the first paper we start by noting that for small Lp-exponents, i.e. 0∞(R). LÄS MER

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

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

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

7. 5. Analysis and numerical methods for multiscale problems in magnetization dynamics

   Författare :Lena Leitenmaier; Olof Runborg; Carlos Garcia-Cervera; KTH; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Numerical Analysis; Numerisk analys;

   Sammanfattning : This thesis investigates a multiscale version of the Landau-Lifshitz equation and how to solve it using the framework of Heterogeneous Multiscale Methods (HMM). The Landau-Lifshitz equation is the governing equation in micromagnetics, modeling magnetization dynamics. LÄS MER