Sökning: "mathematical analysis"

Visar resultat 6 - 10 av 1019 avhandlingar innehållade orden mathematical analysis.

  1. 6. Linear and Non-linear Deformations of Stochastic Processes

    Författare :Gustaf Strandell; Maciej Klimek; Richard Aron; Uppsala universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Mathematical analysis; Riesz bases and frames; Weakly stationary stochastic processes; Set-valued analysis; Matematisk analys; Mathematical analysis; Analys;

    Sammanfattning : This thesis consists of three papers on the following topics in functional analysis and probability theory: Riesz bases and frames, weakly stationary stochastic processes and analysis of set-valued stochastic processes. In the first paper we investigate Uniformly Bounded Linearly Stationary stochastic processes from the point of view of the theory of Riesz bases. LÄS MER

  3. 7. A pseudoparabolic reaction-diffusion-mechanics system : Modeling, analysis and simulation

    Författare :Arthur Vromans; Adrian Muntean; Martin Lind; Mohammad Asadzadeh; Karlstads universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; reaction-diffusion-mechanics model; parameter delimitation; parabolic-pseudoparabolic equations; weak solvability; Rothe method; periodic homogenization; Matematik; Mathematics;

    Sammanfattning : In this thesis, parabolic-pseudoparabolic equations are derived coupling chemical reactions, diffusion, flow and mechanics in a heterogeneous medium using the framework of mixture theory. The weak solvability in 1-D of the obtained models is studied. LÄS MER

  4. 8. Pluripolar Sets and Pluripolar Hulls

    Författare :Tomas Edlund; Burglind Juhl-Jöricke; Norm Levenberg; Uppsala universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Mathematical analysis; plurisubharmonic functions; pluripolar set; complete pluripolar set; pluripolar hull; fine topology; finely analytic function; fine analytic continuation; Matematisk analys; Mathematical analysis; Analys;

    Sammanfattning : For many questions of complex analysis of several variables classical potential theory does not provide suitable tools and is replaced by pluripotential theory. The latter got many important applications within complex analysis and related fields. Pluripolar sets play a special role in pluripotential theory. LÄS MER

  5. 9. Carlson type inequalities and their applications

    Författare :Leo Larsson; Viktor Burenkov; Uppsala universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Mathematical analysis; Carlson’s inequality; weighted inequality; Lp space; general measure space; interpolation; embedding; Matematisk analys; Mathematical analysis; Analys; matematik; Mathematics;

    Sammanfattning : This thesis treats inequalities of Carlson type, i.e. inequalities of the form∥f∥x≤K∏i=1m∥f∥Aiθiwhere ∑i=1mθi =1 and K is some constant, independent of the function f. X and Ai are normed spaces, embedded in some Hausdorff topological vector space. LÄS MER

  7. 10. Simple Layer Potentials on Lipschitz Surfaces: An Asymptotic Approach

    Författare :Johan Thim; Vladimir Kozlov; Bengt Ove Turesson; Martin Costabel; Linköpings universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Singular integrals; Lipschitz surfaces; Mathematical analysis; Analys;

    Sammanfattning : This work is devoted to the equationwhere S is the graph of a Lipschitz function φ on RN with small Lipschitz constant, and dS is the Euclidian surface measure. The integral in the left-hand side is referred to as a simple layer potential and f is a given function. LÄS MER