ABSTRACT In the paper, we consider a coefficient inverse problem for the heat equation in a degenerating angular domain. It has been shown that the inverse problem for the homogeneous heat equation with homogeneous boundary conditions has a nontrivial solution up to a constant factor consistent with the integral condition. Moreover, the solution of the considered inverse problem is found in explicit form. In conclusion, statements of possible generalizations and the results of numerical calculations are given.

中文翻译：

---

退化域中热传导的系数反问题

摘要 在本文中，我们考虑了退化角域中热方程的系数逆问题。已经表明，具有齐次边界条件的齐次热方程的反问题在与积分条件一致的常数因子下具有非平凡解。此外，所考虑的逆问题的解是以显式形式找到的。最后，给出了可能的概括和数值计算结果的陈述。