Search for dissertations about: "equations"

Showing result 1 - 5 of 1601 swedish dissertations containing the word equations.

  1. 1. Boundary Estimates for Solutions to Parabolic Equations

    Author : Olow Sande; Kaj Nyström; Maciej Klimek; Juha Kinnunen; Uppsala universitet; []
    Keywords : NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; Uniformly parabolic equations; non-linear parabolic equations; linear growth; degenerate parabolic equations; fractional heat equations; complex coefficients; Lipschitz domain; NTA domain; boundary behaviour; boundary Harnack; parabolic measure; Riesz measure; Dirichlet to Neumann map; single layer potentials.; Mathematics; Matematik;

    Abstract : This thesis concerns the boundary behavior of solutions to parabolic equations. It consists of a comprehensive summary and four scientific papers. The equations concerned are different generalizations of the heat equation.Paper I concerns the solutions to non-linear parabolic equations with linear growth. READ MORE

  2. 2. Parabolic equations with low regularity

    Author : Magnus Fontes; Matematik LTH; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Matematik; Mathematics; Galerkin approximation.; low regularity; variational method; Hilbert transformation; fractional calculus; parabolic equations; quasilinear;

    Abstract : In this work we study a variational method for treating parabolic equations that yields new results for non-linear equations with low regularity on source and boundary data. We treat mainly strongly parabolic quasilinear equations and systems in divergence form. READ MORE

  3. 3. Integrable Systems and Operator Equations

    Author : Cornelia Schiebold; Mittuniversitetet; []
    Keywords : NATURAL SCIENCES; NATURVETENSKAP; integrable systems; operator equations; asymptotics of solutions; MATHEMATICS; MATEMATIK;

    Abstract : .... READ MORE

  4. 4. On weak convergence, Malliavin calculus and Kolmogorov equations in infinite dimensions

    Author : Adam Andersson; Göteborgs universitet; Göteborgs universitet; Gothenburg University; []
    Keywords : Stochastic evolution equations; stochastic Volterra equations; weak approximation; Kolmogorov equations in infinite dimensions; Malliavin calculus; finite element method; backward Euler method; Kolmogorov equations in infinite dimensions;

    Abstract : This thesis is focused around weak convergence analysis of approximations of stochastic evolution equations in Hilbert space. This is a class of problems, which is sufficiently challenging to motivate new theoretical developments in stochastic analysis. READ MORE

  5. 5. Approximations of Integral Equations for WaveScattering

    Author : Andreas Atle; Björn Engquist; Richard Tsai; Stockholms universitet; []
    Keywords : NATURAL SCIENCES; NATURVETENSKAP; NATURVETENSKAP; NATURAL SCIENCES; Integral equations; Marching on in time; On surface radiation condition; Physical Optics; Numerical analysis; Numerisk analys;

    Abstract : Wave scattering is the phenomenon in which a wave field interacts with physical objects. An incoming wave is scattered at the surface of the object and a scattered wave is produced. Common practical cases are acoustic, electromagnetic and elastic wave scattering. READ MORE