Green's first identity
= Green's first identity
{c}
= Green's first theorem
{c}
{synonym}
For smooth functions $u,v$ on a region $V$,
$$
\int_V\left(u\Delta v+\nabla u\cdot\nabla v\right)dV
=\int_{\partial V}u\frac{\partial v}{\partial n}\,dS.
$$