| identity resulting from the divergence theorem applied to the vector field f1 grad f2, where f1 and f2 are two scalar fields given at each point of a three-dimensional domain V limited by a closed surface S ∭V(grad f1⋅grad f2+f1 Δ f2)dV=∯Sf1 grad f2⋅endA where dV is the volume element, endA is the vector surface element and Δ is the Laplacian operator Note 1 to entry: In English the first Green formula is sometimes called “first Green theorem” or “first Green identity”.
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