Avancerad sökning

Hittade 2 avhandlingar som matchar ovanstående sökkriterier.

  1. 1. Partial Balayage and Related Concepts in Potential Theory

    Författare :Joakim Roos; Henrik Shahgholian; Björn Gustafsson; Charles Smart; KTH; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Partial balayage; equilibrium measure; obstacle problem; divisible sandpile; Riemannian manifold; quadrature domain; Laplacian growth; mother body; Mathematics; Matematik;

    Sammanfattning : This thesis consists of three papers, all treating various aspects of the operation partial balayage from potential theory.The first paper concerns the equilibrium measure in the setting of two dimensional weighted potential theory, an important measure arising in various mathematical areas, e.g. LÄS MER

  3. 2. Topics in Potential Theory: Quadrature Domains, Balayage and Harmonic Measure

    Författare :Tomas Sjödin; Björn Gustafsson; Stephen Gardiner; KTH; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Mathematical analysis; Quadrature Domain; Balayage; Harmonic measure; Martin boundary; Matematisk analys; Mathematical analysis; Analys;

    Sammanfattning : In this thesis, which consists of five papers (A,B,C,D,E), we are interested in questions related to quadrature domains. Among the problems studied are the possibility of changing the type of measure in a quadrature identity (from complex to real and from real signed to positive), properties of partial balayage, which in a sense can be used to generate quadrature domains, and mother bodies which are closely related to inversion of partial balayage. LÄS MER