 Distributional bilaplacian of the radial coordinate in three dimensions

ID: distributional-bilaplacian-of-the-radial-coordinate-in-three-dimensions

Δ∣ x ∣ = 2/∣ x ∣

away from the origin and

- Δ (1/∣ x ∣) = 4 π δ_{0}

. Hence

- Δ^{2} ∣ x ∣ = 8 π δ_{0}

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