Sökning: "upper gradient"

Visar resultat 1 - 5 av 35 avhandlingar innehållade orden upper gradient.

  1. 1. Newtonian Spaces Based on Quasi-Banach Function Lattices

    Författare :Lukáš Malý; Anders Björn; Jana Björn; Tomas Sjödin; Pekka Koskela; Linköpings universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Newtonian space; upper gradient; weak upper gradient; Banach function lattice; quasi-normed space; metric measure space;

    Sammanfattning : The traditional first-order analysis in Euclidean spaces relies on the Sobolev spaces W1,p(Ω), where Ω ⊂ Rn is open and p ∈ [1, ∞].The Sobolev norm is then defined as the sum of Lp norms of a function and its distributional gradient.We generalize the notion of Sobolev spaces in two different ways. LÄS MER

  3. 2. 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

  4. 3. Transport Coefficients during Drying of Solids containing Multicomponent Mixtures

    Författare :Rafael Gamero; Joaquín Martínez; Evangelos Tsotsas; KTH; []
    Nyckelord :TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY; capillary; conduction; convection; diffusion; evaporation; heat transfer; hydraulic conductivity; liquid film; liquid transport; mass transfer; Maxwell-Stefan diffusion coefficients; molar fluxes; phase equilibrium; temperature gradient; ternary mixture; thermodynamic factors; Chemical engineering; Kemiteknik;

    Sammanfattning : This study investigated the transport coefficients involved in mass and heat transfer during the drying of a porous solid partially saturated with multicomponent mixtures.  It included the coefficients governing liquid transport through the solid, the matrix of multicomponent diffusion coefficients in the liquid phase, and the effective thermal conductivity. LÄS MER

  5. 4. Population dynamics of a perennial herb (Plantago maritima L.) along a distributional gradient : a demographical study

    Författare :Lenn Jerling; Stockholms universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Populationsekologi; Grobladsväxter;

    Sammanfattning : In order to explain density distribution and provide the basis for further research on life history phenomena, the demography of Plantago maritima is described along a distributional gradient from mean water level to the epilitoral. The results seem to suggest that the factors affecting distribution are differences in 1. LÄS MER

  7. 5. Shape Optimization for Acoustic Wave Propagation Problems

    Författare :Rajitha Udawalpola; Martin Berggren; Pekka Neittaanmäki; Uppsala universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; shape optimization; design optimization; acoustic wave propagation; Helmholtz equation; Boundary Element Method; Finite Element Method; inverse problems; adjoint method; gradient-based optimization; Scientific Computing; Beräkningsvetenskap;

    Sammanfattning : Boundary shape optimization is a technique to search for an optimal shape by modifying the boundary of a device with a pre-specified topology. We consider boundary shape optimization of acoustic horns in loudspeakers and brass wind instruments. LÄS MER