Polynomial solutions of the Dirichlet problem for the biharmonic equation in the ball |
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| Authors: | V V Karachik N A Antropova |
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| Institution: | 19750. South Ural State University, Chelyabinsk, Russia
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| Abstract: | We find a polynomial solution of the Dirichlet problem for the inhomogeneous biharmonic equation with polynomial right-hand side and polynomial boundary data in the unit ball. To this end, we use the closed-form representation of harmonic functions in the Almansi formula. |
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