# Use the Divergence Theorem to Prove

1. Sep 9, 2013

### kgal

1. The problem statement, all variables and given/known data

Let f and g be sufficiently smooth real-valued (scalar-valued) functions and let u be a sufficiently smooth vector-valued function on a region V of (x1; x2; x3)-space with a sufficiently smooth boundary ∂V . The Laplacian Δf of f:

Δf:=∇*∇f=∂2f/∂x21 + ∂2u/∂x22 + ∂2u/∂x23

Use the Divergence Theorem to Prove:

See in attachment

2. Relevant equations

Divergence Theorem:

3. The attempt at a solution

2. Sep 10, 2013

### vanhees71

You forgot the attachement. It's also much easier to read your postings when you'd use LaTeX.