|
Эта публикация цитируется в 4 научных статьях (всего в 4 статьях)
Статьи
Metaharmonic functions: mean flux theorem, its converse and related properties
N. Kuznetsov Laboratory for Mathematical Modelling of Wave Phenomena, Institute for Problems in Mechanical Engineering, Russian Academy of Sciences, V.O., Bol'shoy pr., 61 199178, St. Petersburg, Russia
Аннотация:
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.
Ключевые слова:
metaharmonic function, mean value theorem, mean flux theorem, converse theorems.
Поступила в редакцию: 06.04.2020
Образец цитирования:
N. Kuznetsov, “Metaharmonic functions: mean flux theorem, its converse and related properties”, Алгебра и анализ, 33:2 (2021), 82–97; St. Petersburg Math. J., 33:2 (2022), 243–254
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/aa1749 https://www.mathnet.ru/rus/aa/v33/i2/p82
|
|