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arXiv · 2204.09408

Curvilinear parallelogram identity and mean-value property for a semilinear hyperbolic equation of second-order

V. I. Korzyuk·J. V. Rudzko
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Abstract

In this paper, we discuss some of the important qualitative properties of solutions of second-order hyperbolic equations, whose coefficients of the terms involving the second-order derivatives are independent of the desired function and its derivatives. Solutions of these equations have a special property called the curvilinear parallelogram identity (or the mean-value property), which can be used to solve some initial-boundary value problems.

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V. I. Korzyuk, J. V. Rudzko. 2022-04-20. Curvilinear parallelogram identity and mean-value property for a semilinear hyperbolic equation of second-order. https://doi.org/10.32523/2077-9879-2024-15-2-61-74

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