Question: Recall from Section 14.3 that a function g is called harmonic on D if it satisfies Laplaces equation, that is, 2 g = 0
Recall from Section 14.3 that a function g is called harmonic on D if it satisfies Laplace’s equation, that is, ∇2g = 0 on D. Use Green’s first identity (with the same hypotheses as in Exercise 33) to show that if g is harmonic on D, then ∮CDngds = 0. Here Dng is the normal derivative of t defined in Exercise 33.
Step by Step Solution
3.46 Rating (159 Votes )
There are 3 Steps involved in it
Let fx y 1 Then Vf 0 and Greens firs... View full answer
Get step-by-step solutions from verified subject matter experts
