The Dirichlet Problem

 

Example 11.8. Find a function [Graphics:d4.txtgr1.gif] that is harmonic in
the unit disk |z| < 1, which takes on the boundary values:
[Graphics:d4.txtgr2.gif]

Solution:

[Graphics:d4.txtgr4.gif][Graphics:d4.txtgr3.gif]
[Graphics:d4.txtgr4.gif][Graphics:d4.txtgr5.gif]

Graphs for the solution are:

A Dirichlet problem for the disk.

 

 

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(c) John Mathews, 1998, 2006