| 边界惟一延拓性定理的新方法 |
| |
| 引用本文： | 陶祥兴. 边界惟一延拓性定理的新方法[J]. 宁波大学学报(理工版), 2001, 14(3): 1-5 |
| |
| 作者姓名： | 陶祥兴 |
| |
| 作者单位： | 宁波大学理学院, |
| |
| 基金项目： | This work is supported by Ningbo Doctoral Funds, and the Science Foundation of Ningbo University. |
| |
| 摘 要： | 通过引进一种新的基本方法,证明了C1,α(α＞0),区域上二阶散度型椭圆方程的一个非常数弱解,如果其法向导数在边界的某个开子集上趋于零,那么该弱解在边界的每个正测度集合上不可能消失.
|
| 关 键 词： | 双倍性质 边界惟一延拓性 C1,α区域 |
| 文章编号： | 1001-5132(2001)03-0001-05 |
| 修稿时间： | 2001-05-11 |
An Elemantary Method of the Boundary Unique Continuation Theorems |
| |
| TAO Xiangxing. An Elemantary Method of the Boundary Unique Continuation Theorems[J]. Journal of Ningbo University(Natural Science and Engineering Edition), 2001, 14(3): 1-5 |
| |
| Authors: | TAO Xiangxing |
| |
| Abstract: | It is shown that the normal derivative of a weak solution to the elliptic operators which vanishes on an open subset of the boundary of a C 1,a ,a>0, domain cannot vanish on a subset of positive surface. |
| |
| Keywords: | doubling property boundary unique continuation C 1 a domain |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
|
