Harmonic Functions : Green's Identity and Mean Value Theorem for Harmonic Functions
Please see the attached file for the fully formatted problems.
Let h 2 C2(R3) be harmonic (h = 0). Using Green's identity for
....
is independent of the value of R. Then one can deduce the mean value theorem
....
Now what can you say if limx!1 h(x) = 0?
https://brainmass.com/math/graphs-and-functions/greens-identity-mean-value-theorem-harmonic-functions-19050
Solution Summary
Green's identity is used to find mean value theorem for an harmonic function. The solution is detailed and well presented.
$2.49