Geodesic
Almansi decompositions for non-singular second order partial differential operators
Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematika, mehanika, fizika, no. 3 (2010), pp. 4-12 Cet article a éte moissonné depuis la source Math-Net.Ru

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Generalization of the known Almansi decomposition formula to non-singular second order partial differential operators with constant coefficients is considered. A simple formula for determining the first harmonic function in the classical Almansi decomposition is given.
Mots-clés : Almansi decomposition, polynomial solutions.
Keywords: second order partial differential operators 
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V. V. Karachik. Almansi decompositions for non-singular second order partial differential operators. Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematika, mehanika, fizika, no. 3 (2010), pp. 4-12. http://geodesic.mathdoc.fr/item/VYURM_2010_3_a0/

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