6
$\begingroup$

This is a curious question about the way George Green could have defined his Green's function. All the definitions I see have only Dirac-delta $\delta(x-x')$ function as their source on the RHS. But the Dirac-delta was defined about a century after Green's work.

I just want to know, how George Green have defined his function (in case he defined it) ? In case he didn't define his Green's function, how did he give a hint about this method (without Dirac-delta function) ?

$\endgroup$
1
  • 4
    $\begingroup$ Suppose $L$ is a linear differential operator. The solution for $y$ to the differential equation $Ly=f$ if $f*g$ where $g$ is the Green's function and $*$ is convolution. It can be defined that way. But whether George Green did it that way I don't know. $\endgroup$
    – Michael Hardy
    May 10, 2014 at 17:19

0

Reset to default

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Browse other questions tagged or ask your own question.