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

2020/04/06 by Kuznetsov, Nikolay
#39B22 #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph)

paper · doi:10.48550/arxiv.2004.03433

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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