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Frechet/functional derivative  misunderstanding 
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#1
Dec1911, 06:04 AM

P: 24

Hi people,
I have some confustion in understanding the frechet/functional derivative. If we have a function like this:  F(x)= ∫x(r')G(r',r)dr' the integration over Si (2D domain) , G is a 2D green function, r is a 2D vector outside Si, r' is a 2D vector inside Si if I want to take the derivative δF(x)/δx at some point x=xi what should I have? According to a book I have it becomes F(x)= ∫xi(r')G(r',r)dr' But I don't see the reason? 


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