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Vector Fields with Continuous Curl but Discontinuous Partial Derivatives
The American Mathematical Monthly ( IF 0.5 ) Pub Date : 2020-12-11 Adam Coffman, Yuan Zhang
中文翻译:
具有连续卷曲但不连续偏导数的向量场
更新日期:2020-12-11
The American Mathematical Monthly ( IF 0.5 ) Pub Date : 2020-12-11 Adam Coffman, Yuan Zhang
Abstract
Motivated by strong versions of Green’s theorem, we give an example of a differentiable vector field for which the curl is continuous but not all the partial derivatives are continuous.
中文翻译:
具有连续卷曲但不连续偏导数的向量场
摘要
根据格林定理的强形式,我们给出了一个微分向量场的示例,该向量场的卷曲是连续的,但并非所有的偏导数都是连续的。