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 December 19th, 2017, 09:28 AM #1 Newbie   Joined: Oct 2015 From: London Posts: 22 Thanks: 0 Operator Fundamental solution  December 21st, 2017, 06:56 AM #2 Math Team   Joined: Jan 2015 From: Alabama Posts: 3,264 Thanks: 902 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 06:59 AM. Tags fundamental, operator, solution Thread Tools Show Printable Version Email this Page Display Modes Linear Mode Switch to Hybrid Mode Switch to Threaded Mode Similar Threads Thread Thread Starter Forum Replies Last Post opentojoin Elementary Math 1 April 14th, 2015 09:25 AM John Do Real Analysis 7 September 16th, 2013 05:33 AM trsolaris Economics 2 August 5th, 2009 07:44 PM michaelbriech Applied Math 0 April 21st, 2009 04:42 AM Nusc Real Analysis 4 March 24th, 2009 01:34 PM

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