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: 2,957 Thanks: 800 
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 06:59 AM. 

Tags 
fundamental, operator, solution 
Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
relationship operator  opentojoin  Elementary Math  1  April 14th, 2015 09:25 AM 
del operator  John Do  Real Analysis  7  September 16th, 2013 05:33 AM 
inf() operator  trsolaris  Economics  2  August 5th, 2009 07:44 PM 
Fundamental solution & Greens function for Laplacian  michaelbriech  Applied Math  0  April 21st, 2009 04:42 AM 
Symmetric Operator  Nusc  Real Analysis  4  March 24th, 2009 01:34 PM 