Sökning: "Sobolev spaces"

Visar resultat 1 - 5 av 23 avhandlingar innehållade orden Sobolev spaces.

  1. 1. Sobolev-Type Spaces : Properties of Newtonian Functions Based on Quasi-Banach Function Lattices in Metric Spaces

    Författare :Lukáš Malý; Anders Björn; Jana Björn; Tomas Sjödin; Andrea Cianchi; Linköpings universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Newtonian space; Sobolev-type space; metric measure space; upper gradient; Sobolev capacity; Banach function lattice; quasi-normed space; rearrangement-invariant space; maximal operator; Lipschitz function; regularization; weak boundedness; density of Lipschitz functions; quasi-continuity; continuity; doubling measure; Poincaré inequality;

    Sammanfattning : This thesis consists of four papers and focuses on function spaces related to first-order analysis in abstract metric measure spaces. The classical (i.e., Sobolev) theory in Euclidean spaces makes use of summability of distributional gradients, whose definition depends on the linear structure of Rn. LÄS MER

  3. 2. Embedding Theorems for Mixed Norm Spaces and Applications

    Författare :Robert Algervik; Viktor Kolyada; Javier Soria; Karlstads universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; mixed norms; rearrangements; modulus of continuity; embeddings; Sobolev spaces; Besov spaces; Lorentz spaces; Mathematical analysis; Analys; Matematik; Mathematics;

    Sammanfattning : This thesis is devoted to the study of mixed norm spaces that arise in connection with embeddings of Sobolev and Besov type spaces. We study different structural, integrability, and smoothness properties of functions satisfying certain mixed norm conditions. Conditions of this type are determined by the behaviour of linear sections of functions. LÄS MER

  4. 3. Embedding Theorems for Mixed Norm Spaces and Applications

    Författare :Robert Algervik; Viktor Kolyada; Lars-Erik Persson; Karlstads universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; mixed norms; embeddings; rearrangements; anisotropic fractional Sobolev spaces; anisotropic Besov spaces; mixade normer; inbäddningar; omarrangeringar; anisotropa fractionära Sobolev rum; anisotropa Besov rum; MATHEMATICS; MATEMATIK; Matematik; Mathematics;

    Sammanfattning : This thesis is devoted to the study of mixed norm spaces that arise in connection with embeddings of Sobolev and Besov type spaces. The work in this direction originates in a paper due to Gagliardo (1958), and was continued by Fournier (1988) and by Kolyada (2005). We consider fully anisotropic mixed norm spaces. LÄS MER

  5. 4. Carleson measures for Hardy Sobolev spaces and Generalized Bergman spaces

    Författare :Edgar Tchoundja; Göteborgs universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES;

    Sammanfattning : .... LÄS MER

  7. 5. Properties of wave-front sets and non-tangential convergence

    Författare :Karoline Johansson; Joachim Toft; Luigi Rodino; Linnéuniversitetet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Fourier Banach spaces; Generalized free time-dependent Schrödinger equation; Micro-local; Modulation spaces; Non-tangential convergence; Pseudo-differential operators; Regularity; Wave-front sets.; Mathematical analysis; Analys; Matematik; Mathematics;

    Sammanfattning : In this thesis we consider regularity properties for solutions to partial differential equations and pseudo-differential equations. The thesis mainly concerns wave-front sets and micro-local properties. LÄS MER