Abstract

An identification problem for an equation of mixed telegraph-parabolic type with an unknown parameter depending on spatial variables is considered. The unique solvability of this problem is proved, and stability inequalities for its solution are established. As applications, stability estimates are obtained for the solutions of four identification problems for telegraph-parabolic equations with an unknown source depending on spatial variables.

中文翻译：

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电报-抛物线方程的辨识问题

摘要

考虑具有未知参数的混合电报-抛物线型方程的识别问题，该方程取决于空间变量。证明了该问题的独特可解性，并且建立了解决该问题的稳定性不等式。作为应用，针对空间参数未知的电报-抛物线方程的四个识别问题的解决方案，获得了稳定性估计。