Search for dissertations about: "Dirichlet problem"

Showing result 1 - 5 of 46 swedish dissertations containing the words Dirichlet problem.

  2. 1. Dirichlet's problem in Pluripotential Theory

    Author : Hoàng Hiệp Phạm; Urban Cegrell; Slawomir Kolodziej; Umeå universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Complex Monge-Ampère operator; currents; Dirichlet problem; pluripotential theory; plurisubharmonic function; subextension; MATHEMATICS; MATEMATIK;

    Abstract : In this thesis we focus on Dirichlet's problem for the complex Monge-Ampère equation. That is, for a given non-negative Radon measure µ we are interested in the conditions under which there exists a plurisubharmonic function u such that (ddcu)n=µ, where (ddc)n is the complex Monge-Ampère operator. READ MORE

  4. 2. Some new results concerning general weighted regular Sturm-Liouville problems

    Author : Mervis Kikonko; Lars-Erik Persson; Peter Wall; Angelo B. Mingarelli; Alexey Karapetyants; Luleå tekniska universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Partial differential equations; Sturm-Liouville problem; Right-definite; left-definite; non-definite; indefinite; Dirichlet problem; spectrum; eigenvalues; non-real eigenvalues; Richardson number; Richardson index; turning point; Mathematics; Matematik;

    Abstract : In this PhD thesis we study some weighted regular Sturm-Liouville problems in which the weight function takes on both positive and negative signs in an appropriate interval [a,b]. With such  problems there is the possible existence of non-real eigenvalues, unlike in the definite case (i.e. READ MORE

  5. 3. On parabolic equations of Kolmogorov-Fokker-Planck type

    Author : Malte Litsgård; Kaj Nyström; Ugo Gianazza; Uppsala universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Kolmogorov equation; degenerate parabolic; ultraparabolic; Lipschitz domain; Dirichlet problem; boundary behaviour; parabolic measure.; Mathematics; Matematik;

    Abstract : In this thesis solutions to Kolmogorov-Fokker-Planck type equations are studied. It consists of a comprehensive summary and four scientific articles.In the first article a potential theory for certain strongly degenerate parabolic operators in unbounded domains of Lipschitz type is developed. READ MORE

  6. 4. New weighted inequalities with applications to pseudodifferential operators

    Author : Stefan Eilertsen; Per-Anders Ivert; Linköpings universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Weighted integral inequalities; fractional Laplacian; Dirichlet problem; behavior near the boundary; special functions;

    Abstract : This thesis is devoted to weighted integral inequalities and their applications to the  study of boundary behavior of solutions to Dirichlet's problem for fractional powers of the Laplacian.We obtain a necessary and sufficient condition on μ for the operator (—Δ)μin R 0 , 0 ... READ MORE

  7. 5. The complex Monge-Ampére operator on bounded hyperconvex domains

    Author : Per Åhag; Urban Cegrell; Norm Levenberg; Umeå universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Complex Monge-Ampère operator; currents; Dirichlet problem; hyperconvex domain; Perron-Bremermann envelope; pluripotential theory; plurisubharmonic function; Mathematical statistics; Matematisk statistik; Mathematical Statistics; matematisk statistik;

    Abstract : .... READ MORE