Two-Point Mean Value Formulas
| Autor: | M. V. Polovinkina, A. L. Muglanov, I. P. Polovinkin |
|---|---|
| Rok vydání: | 2020 |
| Předmět: |
Euclidean space
General Mathematics 010102 general mathematics Mean value Mathematical analysis Space (mathematics) Wave equation 01 natural sciences 010305 fluids & plasmas Mean value theorem (divided differences) 0103 physical sciences Point (geometry) 0101 mathematics Algebra over a field Mathematics |
| Zdroj: | Lobachevskii Journal of Mathematics. 41:853-868 |
| ISSN: | 1818-9962 1995-0802 |
| DOI: | 10.1134/s1995080220050091 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|
Full text from SpringerLink