Sökning: "obstacle problems"

Visar resultat 1 - 5 av 90 avhandlingar innehållade orden obstacle problems.

  1. 1. Obstacle Problems for Green Potentials and for Parabolic Quasiminima

    Författare :Catarina Petersson; Matematik (naturvetenskapliga fakulteten); []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Functions; differential equations; Funktioner; differentialekvationer; Matematik; degenerate parabolic operators; Mathematics; quasiminima; obstacle problems; Green potentials;

    Sammanfattning : The thesis consists of two parts. In the first part pure potential theoretic methods are employed to study the obstacle problem connected with a uniformly elliptic second-order differential operator in divergence form. Regular points of the obstacles are characterized by the classical Wiener criterion. LÄS MER

  3. 2. Free Boundary Problems of Obstacle Type, a Numerical and Theoretical Study

    Författare :Mahmoudreza Bazarganzadeh; Henrik Shahgholian; John King; Uppsala universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; Partial differential equations; Numerical analysis; Free boundary problems; Mathematics; Matematik;

    Sammanfattning : This thesis consists of five papers and it mainly addresses the theory and schemes to approximate the quadrature domains, QDs. The first deals with the uniqueness and some qualitative properties of the two QDs. The concept of two phase QDs, is more complicated than its one counterpart and consequently introduces significant and interesting open. LÄS MER

  4. 3. The Double Obstacle Problem on Metric Spaces

    Författare :Zohra Farnana; Jan Björn; Anders Björn; Juha Kinnunen; Linköpings universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; metric space; nonlinear; obstacle problem; p-harmonic; potential theory; regularity; stability; MATHEMATICS; MATEMATIK;

    Sammanfattning : During the last decade, potential theory and p-harmonic functions have been developed in the setting of doubling metric measure spaces supporting a p-Poincar´e inequality. This theory unifies, and has applications in several areas of analysis, such as weighted Sobolev spaces, calculus on Riemannian manifolds and Carnot groups, subelliptic differential operators and potential theory on graphs. LÄS MER

  5. 4. Numerical Algorithms for Free Boundary Problems of Obstacle Types

    Författare :Farid Bozorgnia; Henrik Shahgholian; Adam Oberman; KTH; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; MATHEMATICS; MATEMATIK;

    Sammanfattning : .... LÄS MER

  7. 5. Non-linear Free Boundary Problems

    Författare :Andreas Minne; Henrik Shahgholian; Herbert Koch; KTH; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; free boundary; elliptic; fully non-linear; Mathematics; Matematik;

    Sammanfattning : This thesis consists of an introduction and four research papers related to free boundary problems and systems of fully non-linear elliptic equations.Paper A and Paper B prove optimal regularity of solutions to general elliptic and parabolic free boundary problems, where the operators are fully non-linear and convex. LÄS MER