| Poisson方程Cauchy问题对数型稳定性 |
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| 引用本文： | 徐定华 程晋. Poisson方程Cauchy问题对数型稳定性[J]. 数学杂志, 1997, 17(3): 404-408 |
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| 作者姓名： | 徐定华 程晋 |
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| 作者单位： | [1]上海大学 [2]复旦大学 |
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| 摘 要： | 本文在ｍ＋１维欧几里得空间中讨论Ｐｏｉｓｓｏｎ方程Ｃａｕｃｈｙ问题解的稳定性，利用Ｔｉｋｈｏｎｏｖ，栾文贵，Ｙａｍａｍｏｔｏ的关于不适定问题的解法获得了解的对数型稳定性估计。
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| 关 键 词： | 不适定问题 对数型稳定性 泊松方程 初值问题 |
STABILITY OF LOGARITHMIC TYPE OF CAUCHY PROBLEMS FOR POISSON EQUATIONS |
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| Xu Dinghua,Cheng Jin,Li Mingzhong. STABILITY OF LOGARITHMIC TYPE OF CAUCHY PROBLEMS FOR POISSON EQUATIONS[J]. Journal of Mathematics, 1997, 17(3): 404-408 |
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| Authors: | Xu Dinghua Cheng Jin Li Mingzhong |
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| Abstract: | This paper discusses the stability of the solutions to a class of Cauchy problems for Poisson equations in Euclidean (m 1)-space. By means of Tikhonov, Luan Wengui and Yamamoto's methods for solving ill-posed problems, the stability estimations of logarithmic type has been obtained. |
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| Keywords: | Cauchy problems for Poisson equations analytic continuation of potential fiedl ill-posed problems stability of logarithmic type |
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