Application of the Almansi formula for constructing polynomial solutions to the Dirichlet problem for a second-order equation

DOI10.3103/S1066369X12060035zbMath1259.35082MaRDI QIDQ1759286

Valery V. Karachik

Publication date: 20 November 2012

Published in: Russian Mathematics (Search for Journal in Brave)

zbMATH Keywords

Dirichlet problemelliptic equationpolynomial solutionAlmansi decomposition

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Second-order elliptic equations (35J15) Higher-order elliptic equations (35J30)

Related Items (1)

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

Cites Work

• Unnamed Item
• Normalized system for wave and Dunkl operators
• Normalized system of functions with respect to the Laplace operator and its applications.
• The case where a solution to a boundary-value problem is a polynomial
• On an expansion of Almansi type
• Construction of polynomial solutions to some boundary value problems for Poisson’s equation
• On one representation of analytic functions by harmonic functions

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