Polynomial solutions of the Dirichlet problem for the biharmonic equation in the ball (Q1955655)
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scientific article; zbMATH DE number 6176444
| Language | Label | Description | Also known as |
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| English | Polynomial solutions of the Dirichlet problem for the biharmonic equation in the ball |
scientific article; zbMATH DE number 6176444 |
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Polynomial solutions of the Dirichlet problem for the biharmonic equation in the ball (English)
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17 June 2013
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The authors find a polynomial solution to the Dirichlet problem for the biharmonic equation with polynomial right-hand side and polynomial boundary data in the unit ball. The approach relies on a closed-form representation of harmonic functions in the Almansi formula.
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biharmonic equation
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Dirichlet problem
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representation of harmonic functions
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