ABSTRACT

An inverse boundary-value problem for the heat conduction equation is solved, and the error of the approximate solution is estimated. The Fourier transform with respect to time, which allows one to obtain an error estimate, is not applicable to the problem to be solved. Therefore, the variable in the heat conduction equation is replaced, resulting in the synthesis of problems and obtaining the estimate.

中文翻译：

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关于将逆边界值问题简化为两个不适定问题的合成及其解决方案

摘要

解决了导热方程的逆边值问题，并估计了近似解的误差。相对于时间的傅立叶变换，它允许获得误差估计，不适用于要解决的问题。因此，热传导方程中的变量被替换，导致问题的综合并获得估计。