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Application of the almansi formula for constructing polynomial solutions to the dirichlet problem for a second-order equation |
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| Authors: | V. V. Karachik |
| Affiliation: | 1. Southern Ural State University, pr. Lenina 76, Chelyabinsk, 454080, Russia |
| Abstract: | We obtain the Almansi decomposition for the second-order partial differential operators with constant coefficients. This decomposition is used for constructing a polynomial solution to the Dirichlet problem. |
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