Talk:Fundamental solution

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Mathematics rating:
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 Field:  Analysis

An issue with the example[edit]

The convolution integral of the example doesn't exist. You certainly can't "easily find it" as is stated directly above. —Preceding unsigned comment added by (talk) 16:40, 9 November 2008 (UTC)

The notion of fundamental solution predates distribution theory[edit]

See this 1940 paper by Dressel [1], which references a 1911 paper by Hadamard. The concept of fundamental solution for the heat equation at least was in use long before Schwartz invented distribution theory in the 1940s. Certainly the discovery of distributions shed a lot of light on the subject of fundamental solutions, but it may be worthwhile to convey the older intuition as well. Perturbationist (talk) 03:47, 21 March 2008 (UTC)

Difference between Green's function and Fundamental solution?[edit]

This article does not mark the difference between the Green's function and the fundamental solution! —Preceding unsigned comment added by (talk) 08:26, 22 July 2008 (UTC)

I agree: I would like the distinction to be stated explicitly. Lavaka (talk) 22:53, 14 February 2011 (UTC)

Is there a difference? Mike Stone (talk) —Preceding undated comment added 23:49, 14 February 2017 (UTC)

clean up[edit]

Someone had edited the text such that f was used both as the solution to the differential equation as well as the fundamental solution (which was elsewhere referred to as F). I tried to clear this up everywhere. Further clean-up is certainly possible! One major thing that should be fixed is the example: If the convolution doesn't cleanly produce the correct result in this case, why are we using it as an example? Might a polynomial work better? Someone else can consider it and hopefully fix it! digfarenough (talk) 21:32, 17 December 2009 (UTC)

missing information[edit]

in the "Screened Poisson equation" section there is a function K0 but no explanation nor reference is given. Is K0 a kernel? — Preceding unsigned comment added by 2001:6B0:E:4A59:A4DB:5213:66B0:501 (talk) 10:33, 17 April 2013 (UTC)