11.11. Find the temperature
in the upper half-plane ,
where the temperature at points on the boundary
Explore Revisited Solution 11.11.
The solution is similar to Example 11.7, but the method of
solution is different.
Enter the function U[t] and use the Poisson integral to construct .
Use Mathematica to make a contour plot of the solution.
Then use Mathematica to make a 3D plot of the solution.
Therefore, the function is harmonic in the upper half-plane , and takes on the desired boundary values.
(c) 2006 John H. Mathews, Russell W. Howell