Construction of polynomial solutions to the Dirichlet problem by Almansi representation

DOI10.1007/S10958-012-1124-5zbMath1263.35063OpenAlexW2029634408MaRDI QIDQ1948637

N. A. Antropova, Valery V. Karachik

Publication date: 24 April 2013

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-012-1124-5

zbMATH Keywords

polynomial right-hand side

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Green's functions for elliptic equations (35J08) Polynomial solutions to PDEs (35C11)

Cites Work

• On the solution of the inhomogeneous polyharmonic equation and the inhomogeneous Helmholtz equation
• On one representation of analytic functions by harmonic functions
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