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Erratum: An Inverse Backscatter Problem for Electric Impedance Tomography
Nuutti HyvönenStefanie ReusswigMartin Hankesubject
Electric impedance tomographyBackscatterApplied Mathematicsta111Mathematical analysisInverseUniqueness theoremBackscatterComputational MathematicsUniqueness theorem for Poisson's equationElectric impedance tomographyTomographyElectrical impedanceAnalysisCounterexampleMathematicsdescription
We fix an incorrect statement from our paper [M. Hanke, N. Hyvonen, and S. Reusswig, SIAM J. Math. Anal., 41 (2009), pp. 1948–1966] claiming that two different perfectly conducting inclusions necessarily have different backscatter in impedance tomography. We also present a counterexample to show that this kind of nonuniqueness does indeed occur.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2011-01-01 | SIAM Journal on Mathematical Analysis |