| Cauchy不等式与Harnack不等式的证明 |
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| 引用本文： | 曹伟平. Cauchy不等式与Harnack不等式的证明[J]. 淮海工学院学报, 1999, 8(1): 1-2 |
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| 作者姓名： | 曹伟平 |
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| 作者单位： | 淮海工学院基础科学系 |
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| 摘 要： | 给出一反例说明缺少对称条件时，Ｃａｕｃｈｙ不等式不成立；并指出文献「１」中第四章引理１．３的证明有误。然后推广了Ｃａｕｃｈｙ不等式，从而完善了文献「１」中第四章引理１．３的证明。
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| 关 键 词： | 椭圆型微分方程 Harnack不等式 柯西不等式 |
Cauchy Inequality and the Proof of Harnack Inequality |
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| Cao Weiping. Cauchy Inequality and the Proof of Harnack Inequality[J]. Journal of Huaihai Institute of Technology:Natural Sciences Edition, 1999, 8(1): 1-2 |
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| Authors: | Cao Weiping |
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| Abstract: | A contradiction to Cauchy inequality without symetrical condition is given in this paper, and an error in the poof of Lemma 1.3 in is found. Then a generalized Cauchy inequality is given to correct the error. |
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| Keywords: | elliptic partial differential equations of second order cauchy inequality Harnack inequality |
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