Search for dissertations about: "integral operators"

Showing result 1 - 5 of 57 swedish dissertations containing the words integral operators.

  2. 1. 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

  4. 2. The Weighted Space Odyssey

    Author : Martin Křepela; Sorina Barza; Gord Sinnamon; Karlstads universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; integral operators; supremal operators; weights; weighted function spaces; Lorentz spaces; Lebesgue spaces; convolution; Hardy inequality; multilinear operators; nonincreasing rearrangement; Matematik; Mathematics;

    Abstract : The common topic of this thesis is boundedness of integral and supremal operators between weighted function spaces.The first type of results are characterizations of boundedness of a convolution-type operator between general weighted Lorentz spaces. READ MORE

  5. 3. Regularity of multilinear oscillatory integral operators and nonlinear dispersive partial differential equations

    Author : Aksel Bergfeldt; Wolfgang Staubach; Dorothee Frey; Uppsala universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; oscillatory integral operators; partial differential equations; Mathematics; Matematik;

    Abstract : We show regularity of multilinear Schrödinger integral operators as well as multilinear oscillatory integrals with connection to dispersive partial differential equations. These results are used to show regularity of a system of nonlinear dispersive partial differential equations... READ MORE

  6. 4. Regularity Properties of Oscillatory Integral Operators on Function Spaces

    Author : Anders Israelsson; Wolfgang Staubach; Malabika Pramanik; Uppsala universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Mathematics; Matematik;

    Abstract : We establish regularity results for a variety of oscillatory integral operators, some of which introduced for the first time in this thesis, in general function spaces such as Besov-Lipschitz and Triebel-Lizorkin spaces. These estimates yield new local and global regularity results for evolutionary partial differential equations... READ MORE

  7. 5. Homogenization of some partial differential operators and integral functionals

    Author : Peter Wall; Luleå tekniska universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Mathematics; Matematik;

    Abstract : This thesis is devoted to some problems connected to the theory of homogenization of partial differential operators and integral functionals. The thesis consists of an introduction and three different parts, A-C. In the introduction we give an elementary presentation of the basic ideas in the homogenization theory. READ MORE