Abstract
A mean-value formula for a linear partial differential hyperbolic equation with an operator splitting into first-order factors is obtained. This formula can be interpreted as an extension of the Ásgeirsson principle.
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Translated from Itogi Nauki i Tekhniki, Seriya Sovremennaya Matematika i Ee Prilozheniya. Tematicheskie Obzory, Vol. 172, Proceedings of the Voronezh Winter Mathematical School “Modern Methods of Function Theory and Related Problems,” Voronezh, January 28 – February 2, 2019. Part 3, 2019.
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Polovinkina, M.V. Mean-Value Formula for a Hyperbolic Equation with a Factorizable Operator. J Math Sci 268, 124–129 (2022). https://doi.org/10.1007/s10958-022-06184-1
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DOI: https://doi.org/10.1007/s10958-022-06184-1
Keywords and phrases
- accompanying distribution
- mean-value formula
- factorization of a differential operator
- inclusion-exclusion formula