论文标题

曲线平行四边形身份和均值的均值特性,用于半线性双曲线方程

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

论文作者

Korzyuk, V. I., Rudzko, J. V.

论文摘要

在本文中,我们讨论了二阶双曲方程解的一些重要定性特性,其涉及二阶导数的术语系数与所需功能及其衍生物无关。这些方程的解具有称为曲线平行四边形身份(或均值属性)的特殊属性,可用于解决某些初始有限的值问题。

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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