Leray residue formula and asymptotics of solutions to constant coefficient PDEs (Q1337626)
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scientific article; zbMATH DE number 683313
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Leray residue formula and asymptotics of solutions to constant coefficient PDEs |
scientific article; zbMATH DE number 683313 |
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Leray residue formula and asymptotics of solutions to constant coefficient PDEs (English)
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29 November 1994
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The author gives new integral representations of fundamental solutions of constant coefficient operators. These formulae exhibit new features of fundamental solutions which are not obvious in the classical representations. Among these is the asymptotic behavior of the fundamental solution at infinity. The author demonstrates his rather general results by treating the Laplacian on \(n\)-dimensional Euclidean space.
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integral representations of fundamental solutions of constant coefficient operators
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asymptotic behavior of the fundamental solution at infinity
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0.7598644495010376
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