In this paper, we study the pointwise controllability of the one-dimensional degenerate heat equation. Necessary and sufficient conditions for approximate and null controllability are proved. Our approach is mainly based on the moment method developed by Fattorini and Russell.

中文翻译：

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矩形法退化抛物型方程的点态可控性。

在本文中，我们研究了一维简并热方程的逐点可控性。证明了近似和零可控性的必要和充分条件。我们的方法主要基于Fattorini和Russell开发的矩量法。