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#1 2007-02-10 05:15:02

kylekatarn
Member
Registered: 2005-07-24
Posts: 445

Harmonic functions and surface integrals

[Vector calculus / theorems]

Let:




Show that:

The flux of the directional derivative of f with respect to the exterior unit normal over the surface

is zero if and only if f is harmonic (laplacian of f is zero)

for all regular bounded domain


Last edited by kylekatarn (2007-02-25 10:20:52)

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#2 2007-02-15 07:18:07

kylekatarn
Member
Registered: 2005-07-24
Posts: 445

Re: Harmonic functions and surface integrals

nobody wants to try? : (

Last edited by kylekatarn (2007-02-15 07:33:34)

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