论文标题
热方程式的Q-Anogue的反问题
Inverse problems for q-analogue of the heat equation
论文作者
论文摘要
在本文中，我们探讨了与$ q $ - 热方程式的相关逆源问题和逆初始问题的弱解决方案。作为过度确定的条件，我们已经在空间变量（如果是逆源问题的情况下）和最终时间条件（在初始问题的情况下）使用了积分类型条件。通过光谱膨胀方法获得了一系列考虑的问题。
In this paper we explore the weak solution of a time-dependent inverse source problem and inverse initial problem for $q$-analogue of the heat equation. As an over-determination condition we have used integral type condition on space-variable (in the case of inverse source problem) and final time condition (in the case of inverse initial problem). Series form of considered problems have been obtained via the method of spectral expansions.
