- 5.2k Downloads
In this chapter harmonic functions will be studied and the Dirichlet Problem will be solved. The Dirichlet Problem consists in determining all regions G such that for any continuous function f: ∂G → ℝ there is a continuous function u:G-→ ℝ such that u(z) = f(z) for z in ∂G and u is harmonic in G. Alternately, we are asked to determine all regions G such that Laplace’s Equation is solvable with arbitrary boundary values.
Unable to display preview. Download preview PDF.