| Uniqueness and stability in an inverse problem for a Poisson's equation |
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| 引用本文： | Li-xin FENG~(1 ) Yan-cheng QU~2 1 School of Mathematical Sciences,Heilongjiang University,Harbin 150080,China, 2 Research Center of Control and Inertial Technology,Harbin Institute of Technology,Harbin 150001,China. Uniqueness and stability in an inverse problem for a Poisson's equation[J]. 中国科学A辑(英文版), 2007, 50(7). DOI: 10.1007/s11425-007-0066-8 |
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| 作者姓名： | Li-xin FENG~(1 ) Yan-cheng QU~2 1 School of Mathematical Sciences Heilongjiang University Harbin 150080 China 2 Research Center of Control and Inertial Technology Harbin Institute of Technology Harbin 150001 China |
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| 基金项目： | This work was partially supported by the National Natural Science Foundation of China(Grant No.10626017)，the Science Foundation of the Education Committee of Heilongjiang Province(Grant No.11511276)，the Foundation of HeilonKjiang Province(Grant No.LBH-Q05114) |
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| 摘 要： | Consider the Poisson's equation(?)″(x)=-e~(v-(?)) e~((?)-v)-N(x)with the Diriehlet boundary data,and we mainly investigate the inverse problem of determining the unknown function N(x)from a parameter function family.Some uniqueness and stability results in the inverse problem are obtained.
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Uniqueness and stability in an inverse problem for a Poisson's equation |
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| Li-xin FENG,Yan-cheng QU. Uniqueness and stability in an inverse problem for a Poisson's equation[J]. Science in China(Mathematics), 2007, 50(7). DOI: 10.1007/s11425-007-0066-8 |
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| Authors: | Li-xin FENG Yan-cheng QU |
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| Affiliation: | 1. School of Mathematical Sciences, Heilongjiang University, Harbin 150080, China
2. Research Center of Control and Inertial Technology, Harbin Instituteof Technology, Harbin 150001, China |
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| Abstract: | Consider the Poisson's equation ψ" (x) ＝ -ev-ψ+eψ-v-N(x) with the Dirichlet boundary data, and we mainly investigate the inverse problem of determining the unknown function N(x) from a parameter function family. Some uniqueness and stability results in the inverse problem are obtained. |
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| Keywords: | Poisson's equation well-posedness inverse problem |
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