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.
| Published in | Pure and Applied Mathematics Journal (Volume 1, Issue 1) |
| DOI | 10.11648/j.pamj.20120101.11 |
| Page(s) | 1-9 |
| Creative Commons |
This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited. |
| Copyright |
Copyright © The Author(s), 2012. Published by Science Publishing Group |
3-Harmonic Equation, Almansi Decomposition, Harmonic Polynomials, Dirichlet Boundary Value Problem, Polynomial Solutions
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APA Style
Valery V. Karachik, Sanjar Abdoulaev. (2012). Construction of Polynomial Solutions to the Dirichlet Boundary Value Problem for the 3-Harmonic Equation in the Unit Ball. Pure and Applied Mathematics Journal, 1(1), 1-9. https://doi.org/10.11648/j.pamj.20120101.11
ACS Style
Valery V. Karachik; Sanjar Abdoulaev. Construction of Polynomial Solutions to the Dirichlet Boundary Value Problem for the 3-Harmonic Equation in the Unit Ball. Pure Appl. Math. J. 2012, 1(1), 1-9. doi: 10.11648/j.pamj.20120101.11
AMA Style
Valery V. Karachik, Sanjar Abdoulaev. Construction of Polynomial Solutions to the Dirichlet Boundary Value Problem for the 3-Harmonic Equation in the Unit Ball. Pure Appl Math J. 2012;1(1):1-9. doi: 10.11648/j.pamj.20120101.11
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Download@article{10.11648/j.pamj.20120101.11,
author = {Valery V. Karachik and Sanjar Abdoulaev},
title = {Construction of Polynomial Solutions to the Dirichlet Boundary Value Problem for the 3-Harmonic Equation in the Unit Ball},
journal = {Pure and Applied Mathematics Journal},
volume = {1},
number = {1},
pages = {1-9},
doi = {10.11648/j.pamj.20120101.11},
url = {https://doi.org/10.11648/j.pamj.20120101.11},
eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.pamj.20120101.11},
abstract = {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.},
year = {2012}
}
TY - JOUR T1 - Construction of Polynomial Solutions to the Dirichlet Boundary Value Problem for the 3-Harmonic Equation in the Unit Ball AU - Valery V. Karachik AU - Sanjar Abdoulaev Y1 - 2012/12/30 PY - 2012 N1 - https://doi.org/10.11648/j.pamj.20120101.11 DO - 10.11648/j.pamj.20120101.11 T2 - Pure and Applied Mathematics Journal JF - Pure and Applied Mathematics Journal JO - Pure and Applied Mathematics Journal SP - 1 EP - 9 PB - Science Publishing Group SN - 2326-9812 UR - https://doi.org/10.11648/j.pamj.20120101.11 AB - 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. VL - 1 IS - 1 ER -
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