Frechet/functional derivative - misunderstanding


by desmal
Tags: derivative, misunderstanding
desmal
desmal is offline
#1
Dec19-11, 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?
Phys.Org News Partner Science news on Phys.org
NASA's space station Robonaut finally getting legs
Free the seed: OSSI nurtures growing plants without patent barriers
Going nuts? Turkey looks to pistachios to heat new eco-city

Register to reply

Related Discussions
Functional Derivative General Math 0
functional derivative Calculus 1
Functional derivative Advanced Physics Homework 4
Frechet (second) derivative of the determinant and inverse functions Calculus & Beyond Homework 1
Skew Adjoint Frechet derivative? Differential Equations 1