Green function to the biharmonic equation on n-dimensional sphere

Q: What type of study is this?

This is a Quantitative Study study.

Ilona Iglewska-Nowak

doi:10.48550/arxiv.2507.03455

July 4, 2025Open Access

Green function to the biharmonic equation on n-dimensional sphere

View Full Paper

Ask AI

Bookmark

Share

Key Points

The explicit representations of the Green function have been derived for specific parameter sets.
The study focuses on both homogeneous and inhomogeneous biharmonic equations on the unit sphere.
Green function solutions are characterized using series expansions involving Gegenbauer polynomials.
The findings contribute to the mathematical understanding of biharmonic equations in higher dimensions.

Implication

Homogeneous and inhomogeneous biharmonic equations analyzed on the n-dimensional sphere, revealing Green function representations.

Abstract

Homogeneous and inhomogeneous biharmonic equation are considered on the n-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.

Discussion

No takes yet. Share an insight, caveat, or question.

Cite This Study

Ilona Iglewska-Nowak (2025) studied this question.

synapsesocial.com/papers/68f5fcdc8d54a28a75cf2517 https://doi.org/10.48550/arxiv.2507.03455

View Full Paper

Ask AI

Bookmark

Share

Green function to the biharmonic equation on n-dimensional sphere

Key Points

Implication

Abstract

Discussion

Cite This Study

Green function to the biharmonic equation on n-dimensional sphere

Key Points

Implication

Abstract

Discussion

Cite This Study

Keep reading

More related papers

Keep reading

More related papers