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

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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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     author = {V. V. Karachik},
     title = {Almansi decompositions for non-singular second order partial differential operators},
     journal = {Vestnik \^U\v{z}no-Uralʹskogo gosudarstvennogo universiteta. Seri\^a, Matematika, mehanika, fizika},
     pages = {4--12},
     publisher = {mathdoc},
     number = {3},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VYURM_2010_3_a0/}
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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/