Inverse mean value properties (a survey)
Analysis of PDEs
2022-05-05 v4 Mathematical Physics
math.MP
Abstract
Several mean value identities for harmonic and panharmonic functions are reviewed along with the corresponding inverse properties. The latter characterize balls, annuli and strips analytically via these functions.
Cite
@article{arxiv.2203.10601,
title = {Inverse mean value properties (a survey)},
author = {Nikolay Kuznetsov},
journal= {arXiv preprint arXiv:2203.10601},
year = {2022}
}
Comments
17 pages, no figures, presentation updated