Asymptotic mean value properties of meta- and panharmonic functions

Nikolay Kuznetsov

Asymptotic mean value properties of meta- and panharmonic functions

Analysis of PDEs 2021-09-07 v1

Authors: Nikolay Kuznetsov

Abstract

Asymptotic mean value properties, their converse and some other related results are considered for solutions to the $m$ -dimensional Helmholtz equation (metaharmonic functions) and solutions to its modified counterpart (panharmonic functions). Some of these properties have no analogues for harmonic functions.

Keywords

asymptotic mean value property metaharmonic function panharmonic function helmholtz equation harmonic function

Cite

@article{arxiv.2109.02579,
  title  = {Asymptotic mean value properties of meta- and panharmonic functions},
  author = {Nikolay Kuznetsov},
  journal= {arXiv preprint arXiv:2109.02579},
  year   = {2021}
}

Comments

6 hages, no figures

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