Question:
Let f be harmonic on a simply connected domain D in the
Last updated: 7/31/2022
Let f be harmonic on a simply connected domain D in the plane and let C be the boundary of D oriented counterclockwise. Show that if f = 0 on the boundary of D then ffVf²dA= 0. Hint: Apply the divergence form of Green's theorem to F = ƒVƒ.