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Apr 27, 2023 at 14:30 comment added Willie Wong I don't understand: if you found Aubin's book, why didn't you go to the immediate next page which starts the section titled "Green's function of the Laplacian"? In particular, he builds the Green's function using the parametrix method, which should be exactly what you are looking for.
Apr 27, 2023 at 7:33 history edited Elio Li CC BY-SA 4.0
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Apr 26, 2023 at 14:33 history asked Elio Li CC BY-SA 4.0