Geodesic
On polynomial solutions to the Dirichlet problem for a~biharmonic equation in a~ball
Sibirskij žurnal industrialʹnoj matematiki, Tome 15 (2012) no. 2, pp. 86-98.

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We find a polynomial solution to the Dirichlet problem for an inhomogeneous biharmonic equation with polynomial right-hand side and polynomial boundary data in the unit ball. We use an explicit representation of harmonic functions in the Almansi formula.
Keywords: biharmonic equation, harmonic polynomials, Dirichlet problem
Mots-clés : polynomial solutions, Almansi formula. 
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V. V. Karachik; N. A. Antropova. On polynomial solutions to the Dirichlet problem for a~biharmonic equation in a~ball. Sibirskij žurnal industrialʹnoj matematiki, Tome 15 (2012) no. 2, pp. 86-98. http://geodesic.mathdoc.fr/item/SJIM_2012_15_2_a8/

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