On the stability estimation of analytic continuation for potential field

被引：0
|
作者：
Dinghua X. [1 ,4 ]
Jin C. [2 ]
Mingzhong L. [3 ]
机构：
[1] East China Geological Institute
[2] Department of Mathematics, Fudan University
[3] Department of Mathematics, Shanghai University
来源：
Applied Mathematics and Mechanics | 1998年 / 19卷 / 6期
关键词：
Analytic continuation of potential field; Cauchy problems for laplace equations; Ill-posed problems; Stability estimation;
D O I：
10.1007/BF02453412
中图分类号：
学科分类号：
摘要：
This paper discusses the stability of solutions to a class of Cauchy problems for Laplace equations under two kinds of nonclassical circumstances. By means of conformai mapping and Tikhonov. Luan Wengui and Yamamoto's methods for solving ill-posed problems respectively, the stability estimations of weighted Holder type and logarithmic type, have been obtained accordingly.
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页码：563 / 572
页数：9
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