Uniqueness for some semilinear elliptic inverse problems (Q2755707)
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scientific article; zbMATH DE number 1671612
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Uniqueness for some semilinear elliptic inverse problems |
scientific article; zbMATH DE number 1671612 |
Statements
28 August 2002
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uniqueness
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Dirichlet-to-Neumann map
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recovery of a nonlinear term
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0.9915053
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0.9722456
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0.96873605
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0.9633815
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0.9629971
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0.95006084
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0.9481913
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Uniqueness for some semilinear elliptic inverse problems (English)
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The author considers the uniqueness of the recovery of a nonlinear term appearing in two semilinear boundary value problems. Using the results in [\textit{L. A. Fernández} and \textit{E. Zuazua}, J. Optimization Theory Appl. 101, 307-328 (1999; Zbl 0952.49003)], under certain assumptions, it is shown that the corresponding Dirichlet-to-Neumann map uniquely determines a nonlinear term appearing in the differential equation or on the boundary value.
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