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Metaharmonic functions: mean flux theorem, its converse and related properties

Analysis of PDEs 2020-04-08 v1 Mathematical Physics math.MP

Abstract

The mean flux theorems are proved for solutions of the Helmholtz equation and its modified version. Also, their converses are considered along with some other properties which generalise those that guarantee harmonicity.

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Cite

@article{arxiv.2004.03433,
  title  = {Metaharmonic functions: mean flux theorem, its converse and related properties},
  author = {Nikolay Kuznetsov},
  journal= {arXiv preprint arXiv:2004.03433},
  year   = {2020}
}

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13 pages