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On the stability estimation of analytic continuation for potential field |
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| Authors: | Xu Dinghua Cheng Jin Li Mingzhong |
| Affiliation: | 1. P. O. Box 267, East China Geological institute, Fuzhou 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 |
| Abstract: | This paper discusses the stability of solutions to a class of Cauchy problems forLap lace equations under two kinds of nonclassical circumstances. By means ofconformal mapping and Tikhonov. Luan bangui and Yamamoto's methods.for solvingill-posed problems respectively, the stability estimations of weighted Holder type andlogarithmic type, have been obtained accordingly. |
| Keywords: | Cauchy problems for Laplace equations analytic continuation ofpotential field ill-posed problems stability estimation |
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