Applied Mathematics and Mechanics

, Volume 19, Issue 6, pp 563–572 | Cite as

On the stability estimation of analytic continuation for potential field

  • Xu Dinghua
  • Cheng Jin
  • Li Mingzhong
Article
  • 26 Downloads

Abstract

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 conformal mapping and Tikhonov, Luan Wengui and Yamamoto's methods for solving ill-posed problems respectively, the stability estimations of weighted Hölder type and logarithmic type, have been obtained accordingly.

Key words

Cauchy problems for Laplace equations analytic continuation of potential field ill-posed problems stability estimation 

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Copyright information

© Editorial Committee of Applied Mathematics and Mechanics 1980

Authors and Affiliations

  • Xu Dinghua
    • 1
  • Cheng Jin
    • 2
  • Li Mingzhong
    • 3
  1. 1.P. O. Box 267East China Geological InstituteFuzhouPR China
  2. 2.Department of MathematicsFudan UniversityShanghaiPR China
  3. 3.Department of MathematicsShanghai UniversityShanghaiPR China

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