The reason of Hopf's and Oleinik's proofs for countability of shocks being wrong
文献类型：期刊论文
| 作者 | Li BangHe |
| 刊名 | SCIENCE CHINA-MATHEMATICS
 |
| 出版日期 | 2012 |
| 卷号 | 55期号:4页码:727-729 |
| 关键词 | ORIGINAL POINTS REAL AXIS WAVES countability of shocks uncountability of shocks conservation law |
| ISSN号 | 1674-7283 |
| 其他题名 | The reason of Hopf’s and Oleinik’s proofs for countability of shocks being wrong |
| 英文摘要 | For the number of complete shock curves of a conservation law with one space variable, Hopf in 1950 for the Burger equation, and Oleinik in 1956 for the general, stated that it is at most countable. In 1979, the present author published an example to show that the statement of Hopf and Oleinik is wrong. But after so long time, the wrong statement for countability still appeared in some publications, which is at least partly due to that some ones felt difficult to understand Hopf and Oleinik's proofs being wrong. So, pointing out where they went wrong becomes very necessary. |
| 资助项目 | [National Basic Research Program of China] ; [National Natural Science Foundation of China] |
| 语种 | 英语 |
| CSCD记录号 | CSCD:4537869 |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/52582]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 作者单位 | 中国科学院数学与系统科学研究院 |
| 推荐引用方式 GB/T 7714 | Li BangHe. The reason of Hopf's and Oleinik's proofs for countability of shocks being wrong[J]. SCIENCE CHINA-MATHEMATICS,2012,55(4):727-729. |
| APA | Li BangHe.(2012).The reason of Hopf's and Oleinik's proofs for countability of shocks being wrong.SCIENCE CHINA-MATHEMATICS,55(4),727-729. |
| MLA | Li BangHe."The reason of Hopf's and Oleinik's proofs for countability of shocks being wrong".SCIENCE CHINA-MATHEMATICS 55.4(2012):727-729. |
入库方式： OAI收割
来源：数学与系统科学研究院
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