Sökning: "Kaj Nyström"

Visar resultat 1 - 5 av 12 avhandlingar innehållade orden Kaj Nyström.

  1. 1. Smoothness properties of solutions to Dirichlet problems in domains with a fractal boundary

    Författare :Kaj Nyström; Umeå universitet; []
    Nyckelord :;

    Sammanfattning : .... LÄS MER

  3. 2. Approximation of pluricomplex Green functions : A probabilistic approach

    Författare :Azza Alghamdi; Maciej Klimek; Kaj Nyström; Anna Zdunik; Uppsala universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; pluricomplex Green function; pluriregular sets; Bernstein-Markov property; Bergman function; nearly orthonormal polynomials; orthogonal polynomials; Monte Carlo simulation; composite Julia sets; Julia sets; iterated function systems; the chaos game.;

    Sammanfattning : This PhD thesis focuses on probabilistic methods of approximation of pluricomplex Green functions and is based on four papers.The thesis begins with a general introduction to the use of pluricomplex Green functions in multidimensional complex analysis and a review of their main properties. LÄS MER

  4. 3. Boundary Behavior of p-Laplace Type Equations

    Författare :Benny Avelin; Kaj Nyström; Steve Hofmann; Uppsala universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; p-Laplace; Boundary Harnack inequality; A-harmonic; Ahlfors regularity; NTA-domains; Martin boundary; Reifenberg flat; Approximable by Lipschitz graphs; Subelliptic; Carleson estimate; Mathematics; Matematik;

    Sammanfattning : This thesis consists of six scientific papers, an introduction and a summary. All six papers concern the boundary behavior of non-negative solutions to partial differential equations.Paper I concerns solutions to certain p-Laplace type operators with variable coefficients. LÄS MER

  5. 4. Selected Topics in Mathematical Modelling: Machine Learning and Tugs-of-War

    Författare :Carmina Fjellström; Kaj Nyström; Andrea Pascucci; Uppsala universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Machine learning; Neural networks; LSTM; Financial forecasting; Time series analysis; Stochastic gradient descent; Diffusion map; Dimension reduction; Tug-of-war games; Fractional heat operator; Mean value property; Infinity fractional heat operators; Dynamic programming principle; p-Laplacian; Infinity Laplacian; Kolmogorov equation; Stochastic games; Viscosity solutions; Tillämpad matematik och statistik; Applied Mathematics and Statistics;

    Sammanfattning : This thesis concerns selected topics in mathematical modelling, namely in machine learning and stochastic games called tugs-of-war. It consists of four scientific articles. The first and second are about machine learning topics, while the third and fourth articles are about tug-of-war games. LÄS MER

  7. 5. Topics on subelliptic parabolic equations structured on Hörmander vector fields

    Författare :Marie Frentz; Kaj Nyström; Luca Capogna; Umeå universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; subelliptic; parabolic; obstacle problem; boundary behaviour; weak approximation; Mathematics; matematik;

    Sammanfattning : .... LÄS MER