Sökning: "Juha Kinnunen"

Hittade 2 avhandlingar innehållade orden Juha Kinnunen.

  1. 1. 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

  3. 2. Boundary Estimates for Solutions to Parabolic Equations

    Författare :Olow Sande; Kaj Nyström; Maciej Klimek; Juha Kinnunen; Uppsala universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; 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;

    Sammanfattning : 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. LÄS MER