Understanding Laplacian's Theorem: A Comprehensive Guide

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Jhenrique
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If exist a theorem for the gradiant, other to the curl(green) and other for the divergence. So, exist a theorem for the laplacian too?
 
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I don't understand what you expect. You can use Gauß-Ostrogradski's formula to generate the so-called Green formulas, which are useful in scalar and vector light diffraction theory (Kirchhoff's formula). Search these items on Wikipedia.
 
I want says that if exist the gradient theorem:
ca8b2c89c9693e534bf73ab7c65d411f.png

the curl theorem:
69a456d0e41ae9b609f7437fa0c73f79.png

and the divergence theorem:
7305fb779e0e3926dfe7ef2d4e93a436.png


So, is possible to define a theorem for the laplacian too?
 
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