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.

引用

页码：853 / 868

页数：16

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