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: 3,261 Thanks: 894 
If $x> \xi$ then $x \xi= x \xi$ and $\frac{d^2x\xi}{dx}= \frac{d^2(x \xi)}{dx}= 0$. If $x< \xi$ then $x \xi= x+ \xi$ and $\frac{d^2x\xi}{dx}= \frac{d^2(x+\xi)}{dx}= 0$. 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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fundamental, operator, solution 
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