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A characterization of solutions to a perturbed Laplace equation. II - MaRDI portal

A characterization of solutions to a perturbed Laplace equation. II (Q1335184)

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scientific article; zbMATH DE number 645220
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A characterization of solutions to a perturbed Laplace equation. II
scientific article; zbMATH DE number 645220

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    A characterization of solutions to a perturbed Laplace equation. II (English)
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    28 September 1994
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    [For part one see \textit{P. O. Staples} and \textit{J. A. Kelingos}, Ill. J. Math. 22, 208-216 (1978; Zbl 0375.35018).] A representation of the general solution to an elliptic equation of the form \(\text{div} (s \text{grad} u) = 0\), where \(s\) is a real nonanalytic function, is considered. The method of separation of variables is used and a description of the solution in the sense of hyperfunctions is made.
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    separation of variables
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    hyperfunctions
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