Uniqueness and stability in an inverse problem for a Poisson’s equation |
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Authors: | Li-xin Feng Yan-cheng Qu |
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Institution: | (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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Abstract: | Consider the Poisson’s equation Ψ″ (x) = −e
v−Ψ
+ e
Ψ−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.
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) and the Foundation of Heilongjiang Province (Grant
No. LBH-Q05114) |
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Keywords: | Poisson's equation well-posedness inverse problem |
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