| Lewy反例不成立 |
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| 引用本文： | 王凡彬.Lewy反例不成立[J].嘉应学院学报,2010,28(2):5-7. |
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| 作者姓名： | 王凡彬 |
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| 作者单位： | 内江师范学院,数学与信息科学学院;四川省高等学校数值仿真重点实验室,四川,内江,641112 |
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| 基金项目： | 四川省教育厅重点科研项目 |
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| 摘 要： | 考察了偏微分方程历史上的一个著名反例:Lewy反例。对Lewy给出的证明进行了详细的分析,总结了其中的得失之处。指出Lewy用复变函数中的Schwarz反射原理进行解析延拓时,在证明最后关键一步出现了错误。再对Lewy反例给出了反例。结合这两点,说明Lewy反例不成立。
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| 关 键 词： | Lewy反例 证明 错误 不成立 |
Lewy Counter-examples Not to Set up |
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| WANG Fan-bin.Lewy Counter-examples Not to Set up[J].Journal of Jiaying University,2010,28(2):5-7. |
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| Authors: | WANG Fan-bin |
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| Institution: | WANG Fan - bin (School of Mathematics and Information Science, Neijiang Normal University// Key College Laboratory of Numerical Simulation in Sichuan, Neijiang 641112, China) |
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| Abstract: | Partial differential equations in the history of a well -known counterexamples; Lewy counter- exam- ples have been inspected, proved of Lewy to be a detailed analysis, and one of the gains and losses were summed up. Lewy using complex function of the Schwarz reflection principle of analytical eountinuation, the final key step in proving the errors were pointed out. Again for Lewy counter - examples, the counter - examples were given. Combination of these two points, Lewy counter - examples are not set up to be. |
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| Keywords: | Lewy counter- examples proof error not to set up |
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