A generalization of a theorem of Fedorov for harmonic functions of several variables (Q1088816)
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scientific article; zbMATH DE number 3991887
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A generalization of a theorem of Fedorov for harmonic functions of several variables |
scientific article; zbMATH DE number 3991887 |
Statements
A generalization of a theorem of Fedorov for harmonic functions of several variables (English)
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1986
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Sei D ein Gebiet \(\subseteq R^ n\) und P eine kompakte Menge \(\subset D\), mit \(D\setminus P\) überall dicht. Eine Funktion u(x), \(x\in D\), die stetig in D und harmonisch in \(D\setminus P\) ist, wird harmonisch in D sein, sobald die Bedingung \(\int_{S}(\partial u(x)/\partial n)d_ xS=0\) für alle glatten, geschlossenen Oberflächen \(S\subset D\setminus P\) befriedigt ist.
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boundary integral condition
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