Green function to the biharmonic equation on $n$-dimensional sphere
Analysis of PDEs
2025-07-08 v1
Abstract
Homogeneous and inhomogeneous biharmonic equation are considered on the -dimensional unit sphere. The Green function is given as a series of Gegenbauer polynomials. In the paper, explicit representations of the Green function are found for some sets of parameters.
Keywords
Cite
@article{arxiv.2507.03455,
title = {Green function to the biharmonic equation on $n$-dimensional sphere},
author = {Ilona Iglewska-Nowak},
journal= {arXiv preprint arXiv:2507.03455},
year = {2025}
}