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On the stability estimation of analytic continuation for potential field

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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.

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Author information

Authors and Affiliations

  1. P. O. Box 267, East China Geological Institute, 344000, Fuzhou, PR China

    Xu Dinghua

  2. Department of Mathematics, Fudan University, 200433, Shanghai, PR China

    Cheng Jin

  3. Department of Mathematics, Shanghai University, 200072, Shanghai, PR China

    Li Mingzhong

Authors
  1. Xu Dinghua
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  2. Cheng Jin
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  3. Li Mingzhong
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Additional information

Communiced by Jiang Furu

Project supported by the National Science Foundation of China and the Science Foundation of Shanghai Education Committee, P. R. China

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Dinghua, X., Jin, C. & Mingzhong, L. On the stability estimation of analytic continuation for potential field. Appl Math Mech 19, 563–572 (1998). https://doi.org/10.1007/BF02453412

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  • DOI: https://doi.org/10.1007/BF02453412

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