A more elegant proof of the second uniqueness theorem uses Green's identity (Prob. 1.61c), with T =...

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A more elegant proof of the second uniqueness theorem uses Green's identity (Prob. 1.61c), with T = U = . Supply the details.

Prob. 1.61c

Although the gradient, divergence, and curl theorems are the fundamental integral theorems of vector calculus, it is possible to derive a number of corollaries from them. Show that:

Robert · Accepted Answer

Green’s identity given is, 
  2 .
v
T U U T d T U da          
Hence, 
Given that, 
 3T U V    
Then green’s identity changes to, 
    23 3 3 3 3 3. ......... 1
v
V V V V d V V da         
We know that,

A more elegant proof of the second uniqueness theorem uses Green's identity (Prob. 1.61c), with T = U = . Supply the details. Prob. 1.61c Although the gradient, divergence, and curl theorems are...

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