In previous articles, the authors provided sufficient conditions for global solvability of linear differential operators defined on a n-dimensional manifold, with real principal part, under the hypothesis of the existence of one hyperbolic singular point. In this work, for $n=2$, we extend the result for non-degenerate singular semi-hyperbolic point.

中文翻译：

---

一阶实线性偏微分算子的整体可解性III

在先前的文章中，作者在存在一个双曲奇异点的假设下，为定义在n维流形上的线性微分算子的整体可解性提供了充分的条件。在这项工作中，$ñ=\mathrm{2个}$，我们将结果推广到非退化奇异半双曲点。