METAHARMONIC FUNCTIONS: MEAN FLUX THEOREM, ITS CONVERSE AND RELATED PROPERTIES

被引：0
|
作者：
Kuznetsov, N. [1 ]
机构：
[1] Russian Acad Sci, Inst Problems Mech Engn, Lab Math Modelling Wave Phenomena, Bolshoy Pr 61, St Petersburg 199178, Russia
来源：
ST PETERSBURG MATHEMATICAL JOURNAL | 2022年 / 33卷 / 02期
关键词：
Metaharmonic function; mean value theorem; mean flux theorem; converse theorems; CYLINDERS;
D O I：
10.1090/spmj/1699
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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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页码：243 / 254
页数：12
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