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

Kuznetsov, N.

doi:10.1090/spmj/1699

Metaharmonic functions: Mean flux theorem, its converse and related properties
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by N. Kuznetsov

St. Petersburg Math. J. 33 (2022), 243-254

DOI: https://doi.org/10.1090/spmj/1699

Published electronically: March 4, 2022

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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 generalize those that guarantee harmonicity.

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