Construction of polynomial solutions to the Dirichlet problem for the polyharmonic equation in a ball

DOI10.1134/S0965542514070070zbMath1313.35093OpenAlexW1997057643MaRDI QIDQ2940511

Valery V. Karachik

Publication date: 26 January 2015

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0965542514070070

zbMATH Keywords

Dirichlet problempolynomial solutionspolyharmonic equationAlmansi formula

Mathematics Subject Classification ID

Boundary value problems for higher-order elliptic equations (35J40) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30)

Related Items (19)

On the solvability of some boundary value problems for the inhomogeneous polyharmonic equation with boundary operators of the Hadamard type ⋮ Riquier-Neumann problem for the polyharmonic equation in a ball ⋮ Integral identities on a sphere for normal derivatives of polyharmonic functions ⋮ Unnamed Item ⋮ On the Dirichlet-Riquier problem for biharmonic equations ⋮ The Green function of the Dirichlet problem for the triharmonic equation in the ball ⋮ Unnamed Item ⋮ Neumann type problems for the polyharmonic equation in ball ⋮ Class of Neumann-type problems for the polyharmonic equation in a ball ⋮ A Neumann-type problem for the biharmonic equation ⋮ Unnamed Item ⋮ On One Mathematical Model Described by Boundary Value Problem for the Biharmonic Equation ⋮ On the solvability of the main boundary value problems for a nonlocal Poisson equation ⋮ Green's function of Dirichlet problem for biharmonic equation in the ball ⋮ On the Green’s Function for the Third Boundary Value Problem ⋮ The Green function of the Dirichlet problem for the biharmonic equation in a ball ⋮ ON REPRESENTATION OF GREEN’S FUNCTION OF THE DIRICHLET PROBLEM FOR BIHARMONIC EQUATION IN A BALL ⋮ On Green's function of the Robin problem for the Poisson equation ⋮ On solvability of some boundary value problems for a biharmonic equation with periodic conditions

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