Sökning: "Dirichlet problem"

Visar resultat 21 - 25 av 46 avhandlingar innehållade orden Dirichlet problem.

  1. 21. Regularity and boundary behavior of solutions to complex Monge–Ampère equations

    Författare :Björn Ivarsson; Zbigniew Blocki; Uppsala universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Mathematics; Complex Monge--Ampère operator; interior regularity; plurisubharmonic function; blow-up rate of solutions; bounded plurisubharmonic exhaustion function; globally Lipschitz; strongly pseudoconvex domain; hyperconvex domain; Bergman kernel; MATEMATIK; MATHEMATICS; MATEMATIK; matematik; Mathematics;

    Sammanfattning : In the theory of holomorphic functions of one complex variable it is often useful to study subharmonic functions. The subharmonic can be described using the Laplace operator. When one studies holomorphic functions of several complex variables one should study the plurisubharmonic functions instead. LÄS MER

  3. 22. Boundary singularities of plurisubharmonic functions

    Författare :Mårten Nilsson; Matematik LTH; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; pluripotential theory; envelope of plurisubharmonic functions; complex Monge-Ampère equation; Jensen measures;

    Sammanfattning : We study the Perron–Bremermann envelope P(μ, φ):=sup{u(z) ; u ∈ PSH(Ω), (ddcu)n≥ μ, u^* ≤ φ} on a B-regular domain Ω. Such envelopes occupy a central position within pluripotential theory as they, for suitable μ and φ harmonic and continuous on the closure of Ω, constitute unique solutions to the Dirichlet problem for the complex Monge–Ampère operator. LÄS MER

  4. 23. The Finite Difference Methods for Multi-phase Free Boundary Problems

    Författare :Avetik Arakelyan; Henrik Shahgholian; John W. Barrett; KTH; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; MATHEMATICS; MATEMATIK;

    Sammanfattning : This thesis consist of an introduction and four research papers concerning numerical analysis for a certain class of free boundary problems. Paper I is devoted to the numerical analysis of the so-called two-phase membrane problem. Projected Gauss-Seidel method is constructed. LÄS MER

  5. 24. Some Möbius Invariant Spaces of Analytic Functions. Spectrum of the Cesàro Operator

    Författare :Anna-Maria Persson; Matematik (naturvetenskapliga fakulteten); []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Mathematics; Matematik; subdecomposable; Cesàro operator; atomic decompositions; Hankel operators; duality; integral estimates; Möbius invariant spaces of analytic functions; growth estimates;

    Sammanfattning : This thesis consists of three papers in which different topics in spaces of analytic functions are considered. These papers are: I. "Estimates in Möbius Invariant Spaces of Analytic Functions." II. LÄS MER

  7. 25. Spectral estimates for the magnetic Schrödinger operator and the Heisenberg Laplacian

    Författare :Anders Hansson; Ari Laptev; B Malcolm Brown; KTH; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; spectral theory; Schrödinger operator; magnetic field; Aharonov-Bohm; Lieb-Thirring; diamagnetic inequality; Heisenberg group; Heisenberg Laplacian; hypoelliptic; spektralteori; Schrödingeroperator; magnetfält; Aharonov-Bohm; Lieb-Thirring; diamagnetisk olikhet; Heisenberggrupp; Heisenberg-Laplace-operator; hypoelliptisk; MATHEMATICS; MATEMATIK;

    Sammanfattning : I denna avhandling, som omfattar fyra forskningsartiklar, betraktas två operatorer inom den matematiska fysiken. De båda tidigare artiklarna innehåller resultat för Schrödingeroperatorn med Aharonov-Bohm-magnetfält. LÄS MER