| 双调和函数的Dirichlet问题(英) |
| |
| 引用本文： | 赵桢,陈方权. 双调和函数的Dirichlet问题(英)[J]. 北京师范大学学报(自然科学版), 1998, 0(2) |
| |
| 作者姓名： | 赵桢 陈方权 |
| |
| 作者单位： | 北京师范大学数学系!北京，100875，北京师范大学数学系!北京，100875 |
| |
| 摘 要： | 讨论了根据给定的双调和函数可以确定一个双解析函数的重要性质（类似于解析函数所具有的性质）．还讨论了双调和函数的Dirichlet问题和变形的Dirichlet问题，并得到了相应的可解性定理．对于双解析函数的Dirichlet问题也得到了相应的可解性结论．
|
| 关 键 词： | 双调和函数 双解析函数 Dirichlet问题 变形的Dirichlet问题 |
DIRICHLET''''S PROBLEMS FOR BIHARMONIC FUNCTIONS |
| |
| Zhao Zhen,Chenfang Quan. DIRICHLET''''S PROBLEMS FOR BIHARMONIC FUNCTIONS[J]. Journal of Beijing Normal University(Natural Science), 1998, 0(2) |
| |
| Authors: | Zhao Zhen Chenfang Quan |
| |
| Abstract: | Some properties and mechanic illustration of bianalytic functions are considered; Dirichlet's problem and Dirichlet's problem in the changed form for biharmonic functions are introduced, theorems of solvability for them are also obtained. Dirichlet's problem for bianalytic fundtions is also considered and the conclusion of its solvability is obtained. |
| |
| Keywords: | bianalytic functions biharmonic functions Dirichlet's problem Dirichlet's problem in the changed form |
| 本文献已被 CNKI 等数据库收录！ |
