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Feb 7, 2023 at 15:33 answer added Carlo Beenakker timeline score: 1
Feb 7, 2023 at 15:01 comment added Ivo Ita Green's function for the two-dimensional Helmholtz equation is derived in this work: sbfisica.org.br/rbef/pdf/351304.pdf
May 11, 2022 at 9:21 comment added Kurt G. The Helmholtz equations stems from separating variables in the wave equation. Physicists are well aware that wave propagation in 2d is very different from 3d. Living in a two dimensional world we would be begging to go deaf.
May 11, 2022 at 7:57 comment added Manuel Pena That was part of my question, that maybe for some reason I don't know this function I show was not considered a Green function. However, I don't know that you mean by your difference. The article in the wikipedia does indeed show a green function for the two-dimensional laplacian (which, as you say, does not vanish at infinity). But my question is why the two-dimensional Helmholtz equation is missing?
May 11, 2022 at 4:07 review Close votes
May 16, 2022 at 19:45
May 11, 2022 at 3:40 comment added Michael Renardy What is a "true" Green's function? The difference is that in more than two dimensions there is a solution of $\Delta u=\delta$ which vanishes at infinity, in two or one dimension there is not.
May 11, 2022 at 0:44 history asked Manuel Pena CC BY-SA 4.0