Use the Divergence Theorem to Prove

[kgal]

Homework Statement

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

Homework Equations

Divergence Theorem:

The Attempt at a Solution

 

[vanhees71]

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