- #1
Daveyboy
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I seem to be missing a subtlety of the definition of a harmonic function. I'm using Churchill and Brown. As stated in the book, an analytic function in domain D with component functions (i.e. real and imaginary parts) u(x,y) and v(x,y) are harmonic in D.
harmonic functions satisfy uxx+uyy=0
Consider u=x3 +y
then uxx+uyy gives 6x+0 [tex]\neq[/tex] 0
but this is analytic in some domain D.
So what am I missing here, why does this not satisfy the conditions to be a harmonic function?
harmonic functions satisfy uxx+uyy=0
Consider u=x3 +y
then uxx+uyy gives 6x+0 [tex]\neq[/tex] 0
but this is analytic in some domain D.
So what am I missing here, why does this not satisfy the conditions to be a harmonic function?