Geodesic
Application of the Almansi formula for constructing polynomial solutions to the Dirichlet problem for a~second-order equation
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 6 (2012), pp. 24-35

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We obtain the Almansi type decomposition for the second-order partial differential operators with constant coefficients. This decomposition is used for constructing a polynomial solution to the Dirichlet problem.
Mots-clés : Almansi decomposition, polynomial solutions
Keywords: Dirichlet problem. 
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     title = {Application of the {Almansi} formula for constructing polynomial solutions to the {Dirichlet} problem for a~second-order equation},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {24--35},
     publisher = {mathdoc},
     number = {6},
     year = {2012},
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     url = {http://geodesic.mathdoc.fr/item/IVM_2012_6_a2/}
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V. V. Karachik. Application of the Almansi formula for constructing polynomial solutions to the Dirichlet problem for a~second-order equation. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 6 (2012), pp. 24-35. http://geodesic.mathdoc.fr/item/IVM_2012_6_a2/