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 December 19th, 2017, 08:28 AM #1 Newbie   Joined: Oct 2015 From: London Posts: 22 Thanks: 0 Operator Fundamental solution
 December 21st, 2017, 05:56 AM #2 Math Team   Joined: Jan 2015 From: Alabama Posts: 3,240 Thanks: 885 If $x> \xi$ then $|x- \xi|= x- \xi$ and $\frac{d^2|x-\xi|}{dx}= \frac{d^2(x- \xi)}{dx}= 0$. If $x< \xi$ then $|x- \xi|= -x+ \xi$ and $\frac{d^2|x-\xi|}{dx}= \frac{d^2(-x+\xi)}{dx}= 0$. The derivative, and so the second derivative, is not defined at $x= \xi$. Now, what is the definition of "fundamental solution"? Last edited by Country Boy; December 21st, 2017 at 05:59 AM.

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