Two-Point Mean Value Formulas

被引：2
|
作者：
Polovinkina, M. V. [1 ]
Polovinkin, I. P. [2 ]
Muglanov, A. L. [2 ]
机构：
[1] Voronezh State Univ Engn Technol, Dept Higher Math & Informat Technol, Voronezh 394006, Russia
[2] Voronezh State Univ, Dept Math & Appl Anal, Voronezh 394006, Russia
来源：
LOBACHEVSKII JOURNAL OF MATHEMATICS | 2020年 / 41卷 / 05期
关键词：
wave equation; mean value formula; sphere; Lobachevskii space;
D O I：
10.1134/S1995080220050091
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We consider the mean value theorem for the wave equation in the Euclidean space to be a starting point to produce other mean value theorems for the wave equations on a sphere and in a space. We use transformations connecting the wave equation in the Euclidean space and the wave equation in non-Euclidean spaces. Also, we prove two-point mean value formulas for elliptic equations in the Lobachevskii space and on a sphere.
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页码：853 / 868
页数：16
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