Erratum: An inverse backscatter problem for electric impedance tomography

Martin Hanke; Nuutti Hyvönen; Stefanie Reusswig

doi:10.1137/110821780

Erratum: An inverse backscatter problem for electric impedance tomography

Martin Hanke^*, Nuutti Hyvönen, Stefanie Reusswig

^*Tämän työn vastaava kirjoittaja

Johannes Gutenberg University Mainz

Tutkimustuotos: Lehtiartikkeli › Article › Scientific › vertaisarvioitu

Abstrakti

We fix an incorrect statement from our paper [M. Hanke, N. Hyvönen, 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.

Alkuperäiskieli	Englanti
Sivut	1495-1497
Sivumäärä	3
Julkaisu	SIAM Journal on Mathematical Analysis
Vuosikerta	43
Numero	3
DOI - pysyväislinkit	https://doi.org/10.1137/110821780
Tila	Julkaistu - 2011
OKM-julkaisutyyppi	A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä

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10.1137/110821780

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title = "Erratum: An inverse backscatter problem for electric impedance tomography",

abstract = "We fix an incorrect statement from our paper [M. Hanke, N. Hyv{\"o}nen, 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.",

keywords = "Backscatter, Electric impedance tomography, Uniqueness theorem",

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AU - Hyvönen, Nuutti

AU - Reusswig, Stefanie

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N2 - We fix an incorrect statement from our paper [M. Hanke, N. Hyvönen, 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.

AB - We fix an incorrect statement from our paper [M. Hanke, N. Hyvönen, 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.

KW - Backscatter

KW - Electric impedance tomography

KW - Uniqueness theorem

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U2 - 10.1137/110821780

DO - 10.1137/110821780

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Erratum: An inverse backscatter problem for electric impedance tomography

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