Talk:Fundamental solution

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 207.237.8.64 (talk) 16:40, 9 November 2008 (UTC)[reply]

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)[reply]

This article does not mark the difference between the Green's function and the fundamental solution! —Preceding unsigned comment added by 62.227.248.103 (talk) 08:26, 22 July 2008 (UTC)[reply]

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)[reply]