关于Green公式条件的一点注记

On the Conditions for Green's Theorem

在仅假设Green公式中所出现的线积分存在、一阶偏导数连续,在不要求所有的一阶偏导数存在的较弱条件下证明了Green公式,且证明过程更易理解.

In this note we discuss how Green＇s theorem is proved under more general conditions.The proof in the present note shows that the result obtained requires only the existence of line integral and the continuity of those first order partial derivatives appearing in Green＇s formula.