Prove that (u)=(u) for any function; that is, the

Chapter 9, Problem 1

(choose chapter or problem)

Prove that (u)=(u) for any function; that is, the laplacian of the average is the average of the laplacian. (Hint: Write u in spherical coordinatesandshowthattheangulartermshavezeroaverageonspheres centered at the origin.)

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