On the Stability Estimation of Analytic Continuation for Potential Field

Xu Dinghua; Cheng Jin; Li Ming zhong

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Article Navigation > Applied Mathematics and Mechanics > 1998 > 19(6): 528-537

Xu Dinghua, Cheng Jin, Li Ming zhong. On the Stability Estimation of Analytic Continuation for Potential Field[J]. Applied Mathematics and Mechanics, 1998, 19(6): 528-537.

Citation:

Xu Dinghua, Cheng Jin, Li Ming zhong. On the Stability Estimation of Analytic Continuation for Potential Field[J]. Applied Mathematics and Mechanics, 1998, 19(6): 528-537.

Citation:

Xu Dinghua, Cheng Jin, Li Ming zhong. On the Stability Estimation of Analytic Continuation for Potential Field[J]. Applied Mathematics and Mechanics, 1998, 19(6): 528-537.

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On the Stability Estimation of Analytic Continuation for Potential Field

1.
P. O. Box 267, East China Geological Institute, Fuzhou, Jiangxi 344000, P. R. China;
2.
Department of Mathematics, Fudan University, Shanghai 200433, P. R. China;
3.
Department of Mathematics, Shanghai University, Shanghai 200072, P. R. China

Received Date: 1996-09-20
Publish Date: 1998-06-15

Abstract

Abstract

This paper discusses the stability of solutions to a class of Cauchy pro blems for Laplace equatio ns under two kinds of nonclassical circumstances. By means of conformal mapping and Tikhonov, Luan Wengui and Yamamo to. smethods for solving ill-posed problems respectively, the stability estimations of weighted Hlder type and logarithmic type, have been obtained accor dingly.
- Cauchy problems for Laplace equations,
- analytic continuation of potential field,
- ill-posed problems,
- stability estimation

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References(8)

References

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