Green's Identities - Green's Second Identity

Green's Second Identity

If φ and ψ are both twice continuously differentiable on U in R3, and ε is once continuously differentiable, we can choose and obtain:

For the special case of all across U in R3 then:

In the equation above ∂φ / ∂n is the directional derivative of φ in the direction of the outward pointing normal n to the surface element dS:

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