Construction of Polynomial Solutions to the Dirichlet Boundary Value Problem for the 3-Harmonic Equation in the Unit Ball
Pure and Applied Mathematics Journal
Volume 1, Issue 1, December 2012, Pages: 1-9
Received: Dec. 1, 2012;
Published: Dec. 30, 2012
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Valery V. Karachik, Department of Mathematical Analysis, South-Ural State University, Chelyabinsk, Russia
Sanjar Abdoulaev, Department of Computational Mathematics, South-Ural State University, Chelyabinsk, Russia
Polynomial solution to the Dirichlet boundary value problem for the nonhomogeneous 3-harmonic equation in the unit ball with polynomial right-hand side and polynomial boundary data is constructed. Representation of the Green’s function of the Dirichlet boundary value problem in the unit ball in the case of polynomial data is found.
Valery V. Karachik,
Construction of Polynomial Solutions to the Dirichlet Boundary Value Problem for the 3-Harmonic Equation in the Unit Ball, Pure and Applied Mathematics Journal.
Vol. 1, No. 1,
2012, pp. 1-9.
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