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Problem 6. Let f be harmonic on a simply connected domain D in the plane and let C be the boundary of D oriented

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Problem 6. 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 ff |V|dA = 0. Hint: Apply the divergence form of Green's D theorem to F= V.

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