Use the Divergence Theorem to Prove

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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

 

Answers and Replies

  • #2
vanhees71
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You forgot the attachement. It's also much easier to read your postings when you'd use LaTeX.
 

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