Mathematical Sciences

Lund University

  • Title: Topics in harmonic function theory"
  • Description: This Master's thesis consists of two papers dealing with aspects of harmonic function theory in the complex plane. In the first paper we consider a scale of weighted Laplace differential operators for the upper half-plane. A related Poisson kernel is studied and the associated Dirichlet problem is solved using an associated Poisson type integral. The second paper is concerned with a certain superposition property of classical harmonic functions
  • Start Date: Oct. 1, 2011
  • Finished Date: May 23, 2012
  • Supervisor: Anders Olofsson
  • Student: Gaurav Mehendiratta