DIRICHLET PROBLEM ON THE UPPER HALF PLANE - A HEURISTIC ARGUMENT

  • Choe, Geon-H. (Korea Advanced Institute of Science and Technology)
  • Published : 1994.04.01

Abstract

The Dirichlet problem (DP) on the upper half plane {z = x + iy : y > 0} is to find a real-valued harmonic function u(x, y) satisfying u(x, 0) = g(x) almost everywhere for some reasonably nice function g defined on the real line, which is called the data on the boundary for (DP).(omitted)

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